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Finding the Fourth Proportional to 663.02, 916.02 and 467.41

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Solution

The fourth proportional to 663.02, 916.02 and 467.41 is: 645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 916.02 = 467.41 : x
  2. Step 2: Convert to fraction form
    663.02/916.02 = 467.41/x
  3. Step 3: Cross multiply
    663.02x = 916.02 × 467.41
  4. Step 4: Simplify right side
    663.02x = 428,156.91
  5. Step 5: Solve for x
    x = 428,156.91/663.02
  6. Step 6: Final answer
    x = 645.77

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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.