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Finding the Fourth Proportional to 916.72, 1,264.40 and 654.64

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Solution

The fourth proportional to 916.72, 1,264.40 and 654.64 is: 902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.72 : 1,264.40 = 654.64 : x
  2. Step 2: Convert to fraction form
    916.72/1,264.40 = 654.64/x
  3. Step 3: Cross multiply
    916.72x = 1,264.40 × 654.64
  4. Step 4: Simplify right side
    916.72x = 827,726.82
  5. Step 5: Solve for x
    x = 827,726.82/916.72
  6. Step 6: Final answer
    x = 902.92

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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.