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Finding the Fourth Proportional to 664.04, 916.32 and 402.02

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Solution

The fourth proportional to 664.04, 916.32 and 402.02 is: 554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.04 : 916.32 = 402.02 : x
  2. Step 2: Convert to fraction form
    664.04/916.32 = 402.02/x
  3. Step 3: Cross multiply
    664.04x = 916.32 × 402.02
  4. Step 4: Simplify right side
    664.04x = 368,378.97
  5. Step 5: Solve for x
    x = 368,378.97/664.04
  6. Step 6: Final answer
    x = 554.75

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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.