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Finding the Fourth Proportional to 822.19, 1,134.63 and 490.81

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Solution

The fourth proportional to 822.19, 1,134.63 and 490.81 is: 677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.19 : 1,134.63 = 490.81 : x
  2. Step 2: Convert to fraction form
    822.19/1,134.63 = 490.81/x
  3. Step 3: Cross multiply
    822.19x = 1,134.63 × 490.81
  4. Step 4: Simplify right side
    822.19x = 556,882.08
  5. Step 5: Solve for x
    x = 556,882.08/822.19
  6. Step 6: Final answer
    x = 677.32

Related Problems

Find fourth proportional to 411.10, 567.32 and 245.40
Half scale
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Double scale
Find fourth proportional to 823.19, 1,136.01 and 491.81
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.