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Finding the Fourth Proportional to 689.12, 951.20 and 456.24

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Solution

The fourth proportional to 689.12, 951.20 and 456.24 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.12 : 951.20 = 456.24 : x
  2. Step 2: Convert to fraction form
    689.12/951.20 = 456.24/x
  3. Step 3: Cross multiply
    689.12x = 951.20 × 456.24
  4. Step 4: Simplify right side
    689.12x = 433,975.49
  5. Step 5: Solve for x
    x = 433,975.49/689.12
  6. Step 6: Final answer
    x = 629.75

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1.5x scale

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.