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Finding the Fourth Proportional to 613.92, 916.80 and 577.92

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Solution

The fourth proportional to 613.92, 916.80 and 577.92 is: 863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.92 : 916.80 = 577.92 : x
  2. Step 2: Convert to fraction form
    613.92/916.80 = 577.92/x
  3. Step 3: Cross multiply
    613.92x = 916.80 × 577.92
  4. Step 4: Simplify right side
    613.92x = 529,837.06
  5. Step 5: Solve for x
    x = 529,837.06/613.92
  6. Step 6: Final answer
    x = 863.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.