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Finding the Fourth Proportional to 964.72, 1,332.48 and 702.32

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Solution

The fourth proportional to 964.72, 1,332.48 and 702.32 is: 970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.72 : 1,332.48 = 702.32 : x
  2. Step 2: Convert to fraction form
    964.72/1,332.48 = 702.32/x
  3. Step 3: Cross multiply
    964.72x = 1,332.48 × 702.32
  4. Step 4: Simplify right side
    964.72x = 935,827.35
  5. Step 5: Solve for x
    x = 935,827.35/964.72
  6. Step 6: Final answer
    x = 970.05

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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.