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Finding the Fourth Proportional to 663.35, 914.00 and 476.24

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Solution

The fourth proportional to 663.35, 914.00 and 476.24 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.35 : 914.00 = 476.24 : x
  2. Step 2: Convert to fraction form
    663.35/914.00 = 476.24/x
  3. Step 3: Cross multiply
    663.35x = 914.00 × 476.24
  4. Step 4: Simplify right side
    663.35x = 435,276.41
  5. Step 5: Solve for x
    x = 435,276.41/663.35
  6. Step 6: Final answer
    x = 656.18

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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.