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Finding the Fourth Proportional to 665.13, 916.01 and 478.29

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Solution

The fourth proportional to 665.13, 916.01 and 478.29 is: 658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.13 : 916.01 = 478.29 : x
  2. Step 2: Convert to fraction form
    665.13/916.01 = 478.29/x
  3. Step 3: Cross multiply
    665.13x = 916.01 × 478.29
  4. Step 4: Simplify right side
    665.13x = 438,116.03
  5. Step 5: Solve for x
    x = 438,116.03/665.13
  6. Step 6: Final answer
    x = 658.69

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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.