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Finding the Fourth Proportional to 972.20, 1,341.62 and 530.06

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Solution

The fourth proportional to 972.20, 1,341.62 and 530.06 is: 731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.20 : 1,341.62 = 530.06 : x
  2. Step 2: Convert to fraction form
    972.20/1,341.62 = 530.06/x
  3. Step 3: Cross multiply
    972.20x = 1,341.62 × 530.06
  4. Step 4: Simplify right side
    972.20x = 711,139.10
  5. Step 5: Solve for x
    x = 711,139.10/972.20
  6. Step 6: Final answer
    x = 731.47

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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.