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Finding the Fourth Proportional to 689.08, 951.20 and 468.13

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Solution

The fourth proportional to 689.08, 951.20 and 468.13 is: 646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.08 : 951.20 = 468.13 : x
  2. Step 2: Convert to fraction form
    689.08/951.20 = 468.13/x
  3. Step 3: Cross multiply
    689.08x = 951.20 × 468.13
  4. Step 4: Simplify right side
    689.08x = 445,285.26
  5. Step 5: Solve for x
    x = 445,285.26/689.08
  6. Step 6: Final answer
    x = 646.20

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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.