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Finding the Fourth Proportional to 972.47, 1,342.00 and 530.37

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Solution

The fourth proportional to 972.47, 1,342.00 and 530.37 is: 731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.47 : 1,342.00 = 530.37 : x
  2. Step 2: Convert to fraction form
    972.47/1,342.00 = 530.37/x
  3. Step 3: Cross multiply
    972.47x = 1,342.00 × 530.37
  4. Step 4: Simplify right side
    972.47x = 711,755.21
  5. Step 5: Solve for x
    x = 711,755.21/972.47
  6. Step 6: Final answer
    x = 731.90

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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.