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Finding the Fourth Proportional to 663.68, 916.37 and 467.46

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Solution

The fourth proportional to 663.68, 916.37 and 467.46 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.68 : 916.37 = 467.46 : x
  2. Step 2: Convert to fraction form
    663.68/916.37 = 467.46/x
  3. Step 3: Cross multiply
    663.68x = 916.37 × 467.46
  4. Step 4: Simplify right side
    663.68x = 428,363.98
  5. Step 5: Solve for x
    x = 428,363.98/663.68
  6. Step 6: Final answer
    x = 645.44

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1.5x scale

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.