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Finding the Fourth Proportional to 972.74, 1,342.39 and 530.66

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Solution

The fourth proportional to 972.74, 1,342.39 and 530.66 is: 732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.74 : 1,342.39 = 530.66 : x
  2. Step 2: Convert to fraction form
    972.74/1,342.39 = 530.66/x
  3. Step 3: Cross multiply
    972.74x = 1,342.39 × 530.66
  4. Step 4: Simplify right side
    972.74x = 712,345.97
  5. Step 5: Solve for x
    x = 712,345.97/972.74
  6. Step 6: Final answer
    x = 732.31

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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.