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Finding the Fourth Proportional to 765.14, 1,152.92 and 631.19

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Solution

The fourth proportional to 765.14, 1,152.92 and 631.19 is: 951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.14 : 1,152.92 = 631.19 : x
  2. Step 2: Convert to fraction form
    765.14/1,152.92 = 631.19/x
  3. Step 3: Cross multiply
    765.14x = 1,152.92 × 631.19
  4. Step 4: Simplify right side
    765.14x = 727,702.65
  5. Step 5: Solve for x
    x = 727,702.65/765.14
  6. Step 6: Final answer
    x = 951.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.