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Finding the Fourth Proportional to 691.12, 954.06 and 464.38

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Solution

The fourth proportional to 691.12, 954.06 and 464.38 is: 641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.12 : 954.06 = 464.38 : x
  2. Step 2: Convert to fraction form
    691.12/954.06 = 464.38/x
  3. Step 3: Cross multiply
    691.12x = 954.06 × 464.38
  4. Step 4: Simplify right side
    691.12x = 443,046.38
  5. Step 5: Solve for x
    x = 443,046.38/691.12
  6. Step 6: Final answer
    x = 641.06

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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.