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Finding the Fourth Proportional to 664, 915.42 and 467.17

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Solution

The fourth proportional to 664, 915.42 and 467.17 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664 : 915.42 = 467.17 : x
  2. Step 2: Convert to fraction form
    664/915.42 = 467.17/x
  3. Step 3: Cross multiply
    664x = 915.42 × 467.17
  4. Step 4: Simplify right side
    664x = 427,656.76
  5. Step 5: Solve for x
    x = 427,656.76/664
  6. Step 6: Final answer
    x = 644.06

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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.