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Finding the Fourth Proportional to 956.90, 1,435.62 and 401.87

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Solution

The fourth proportional to 956.90, 1,435.62 and 401.87 is: 602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.90 : 1,435.62 = 401.87 : x
  2. Step 2: Convert to fraction form
    956.90/1,435.62 = 401.87/x
  3. Step 3: Cross multiply
    956.90x = 1,435.62 × 401.87
  4. Step 4: Simplify right side
    956.90x = 576,932.61
  5. Step 5: Solve for x
    x = 576,932.61/956.90
  6. Step 6: Final answer
    x = 602.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.