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Finding the Fourth Proportional to 691, 953.72 and 425.53

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Solution

The fourth proportional to 691, 953.72 and 425.53 is: 587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691 : 953.72 = 425.53 : x
  2. Step 2: Convert to fraction form
    691/953.72 = 425.53/x
  3. Step 3: Cross multiply
    691x = 953.72 × 425.53
  4. Step 4: Simplify right side
    691x = 405,836.47
  5. Step 5: Solve for x
    x = 405,836.47/691
  6. Step 6: Final answer
    x = 587.32

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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.