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Finding the Fourth Proportional to 691, 953.60 and 458.56

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Solution

The fourth proportional to 691, 953.60 and 458.56 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    691 : 953.60 = 458.56 : x
  2. Step 2: Convert to fraction form
    691/953.60 = 458.56/x
  3. Step 3: Cross multiply
    691x = 953.60 × 458.56
  4. Step 4: Simplify right side
    691x = 437,282.82
  5. Step 5: Solve for x
    x = 437,282.82/691
  6. Step 6: Final answer
    x = 632.83

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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.