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Finding the Fourth Proportional to 664.32, 916.80 and 402.36

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Solution

The fourth proportional to 664.32, 916.80 and 402.36 is: 555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 916.80 = 402.36 : x
  2. Step 2: Convert to fraction form
    664.32/916.80 = 402.36/x
  3. Step 3: Cross multiply
    664.32x = 916.80 × 402.36
  4. Step 4: Simplify right side
    664.32x = 368,883.65
  5. Step 5: Solve for x
    x = 368,883.65/664.32
  6. Step 6: Final answer
    x = 555.28

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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.