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Finding the Fourth Proportional to 924.65, 1,272.19 and 702.30

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Solution

The fourth proportional to 924.65, 1,272.19 and 702.30 is: 966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.65 : 1,272.19 = 702.30 : x
  2. Step 2: Convert to fraction form
    924.65/1,272.19 = 702.30/x
  3. Step 3: Cross multiply
    924.65x = 1,272.19 × 702.30
  4. Step 4: Simplify right side
    924.65x = 893,459.04
  5. Step 5: Solve for x
    x = 893,459.04/924.65
  6. Step 6: Final answer
    x = 966.27

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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.