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Finding the Fourth Proportional to 972.43, 1,341.92 and 530.35

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Solution

The fourth proportional to 972.43, 1,341.92 and 530.35 is: 731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.43 : 1,341.92 = 530.35 : x
  2. Step 2: Convert to fraction form
    972.43/1,341.92 = 530.35/x
  3. Step 3: Cross multiply
    972.43x = 1,341.92 × 530.35
  4. Step 4: Simplify right side
    972.43x = 711,685.24
  5. Step 5: Solve for x
    x = 711,685.24/972.43
  6. Step 6: Final answer
    x = 731.86

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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.