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Finding the Fourth Proportional to 870.47, 1,200.90 and 538.32

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Solution

The fourth proportional to 870.47, 1,200.90 and 538.32 is: 742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.47 : 1,200.90 = 538.32 : x
  2. Step 2: Convert to fraction form
    870.47/1,200.90 = 538.32/x
  3. Step 3: Cross multiply
    870.47x = 1,200.90 × 538.32
  4. Step 4: Simplify right side
    870.47x = 646,468.49
  5. Step 5: Solve for x
    x = 646,468.49/870.47
  6. Step 6: Final answer
    x = 742.66

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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.