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Finding the Fourth Proportional to 860.19, 1,187.08 and 467.21

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Solution

The fourth proportional to 860.19, 1,187.08 and 467.21 is: 644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.19 : 1,187.08 = 467.21 : x
  2. Step 2: Convert to fraction form
    860.19/1,187.08 = 467.21/x
  3. Step 3: Cross multiply
    860.19x = 1,187.08 × 467.21
  4. Step 4: Simplify right side
    860.19x = 554,615.65
  5. Step 5: Solve for x
    x = 554,615.65/860.19
  6. Step 6: Final answer
    x = 644.76

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Half scale
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Double scale
Find fourth proportional to 861.19, 1,188.46 and 468.21
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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.