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Finding the Fourth Proportional to 923.22, 1,384.99 and 461.02

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Solution

The fourth proportional to 923.22, 1,384.99 and 461.02 is: 691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.22 : 1,384.99 = 461.02 : x
  2. Step 2: Convert to fraction form
    923.22/1,384.99 = 461.02/x
  3. Step 3: Cross multiply
    923.22x = 1,384.99 × 461.02
  4. Step 4: Simplify right side
    923.22x = 638,508.09
  5. Step 5: Solve for x
    x = 638,508.09/923.22
  6. Step 6: Final answer
    x = 691.61

Related Problems

Find fourth proportional to 461.61, 692.50 and 230.51
Half scale
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Double scale
Find fourth proportional to 924.22, 1,386.49 and 462.02
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.