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Finding the Fourth Proportional to 870.11, 1,200.85 and 497.19

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Solution

The fourth proportional to 870.11, 1,200.85 and 497.19 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.11 : 1,200.85 = 497.19 : x
  2. Step 2: Convert to fraction form
    870.11/1,200.85 = 497.19/x
  3. Step 3: Cross multiply
    870.11x = 1,200.85 × 497.19
  4. Step 4: Simplify right side
    870.11x = 597,050.61
  5. Step 5: Solve for x
    x = 597,050.61/870.11
  6. Step 6: Final answer
    x = 686.18

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Double scale
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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.