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Finding the Fourth Proportional to 870.03, 1,305.05 and 431.24

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Solution

The fourth proportional to 870.03, 1,305.05 and 431.24 is: 646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.03 : 1,305.05 = 431.24 : x
  2. Step 2: Convert to fraction form
    870.03/1,305.05 = 431.24/x
  3. Step 3: Cross multiply
    870.03x = 1,305.05 × 431.24
  4. Step 4: Simplify right side
    870.03x = 562,781.08
  5. Step 5: Solve for x
    x = 562,781.08/870.03
  6. Step 6: Final answer
    x = 646.85

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Double scale
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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.