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Finding the Fourth Proportional to 962.46, 1,326.81 and 647.17

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Solution

The fourth proportional to 962.46, 1,326.81 and 647.17 is: 892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.46 : 1,326.81 = 647.17 : x
  2. Step 2: Convert to fraction form
    962.46/1,326.81 = 647.17/x
  3. Step 3: Cross multiply
    962.46x = 1,326.81 × 647.17
  4. Step 4: Simplify right side
    962.46x = 858,670.74
  5. Step 5: Solve for x
    x = 858,670.74/962.46
  6. Step 6: Final answer
    x = 892.16

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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.