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Finding the Fourth Proportional to 664.16, 916.22 and 415.35

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Solution

The fourth proportional to 664.16, 916.22 and 415.35 is: 572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.16 : 916.22 = 415.35 : x
  2. Step 2: Convert to fraction form
    664.16/916.22 = 415.35/x
  3. Step 3: Cross multiply
    664.16x = 916.22 × 415.35
  4. Step 4: Simplify right side
    664.16x = 380,549.90
  5. Step 5: Solve for x
    x = 380,549.90/664.16
  6. Step 6: Final answer
    x = 572.98

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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.