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Finding the Fourth Proportional to 963.90, 1,446.26 and 476.96

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Solution

The fourth proportional to 963.90, 1,446.26 and 476.96 is: 715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.90 : 1,446.26 = 476.96 : x
  2. Step 2: Convert to fraction form
    963.90/1,446.26 = 476.96/x
  3. Step 3: Cross multiply
    963.90x = 1,446.26 × 476.96
  4. Step 4: Simplify right side
    963.90x = 689,808.17
  5. Step 5: Solve for x
    x = 689,808.17/963.90
  6. Step 6: Final answer
    x = 715.64

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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.