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Finding the Fourth Proportional to 612.49, 912.90 and 577.90

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Solution

The fourth proportional to 612.49, 912.90 and 577.90 is: 861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.49 : 912.90 = 577.90 : x
  2. Step 2: Convert to fraction form
    612.49/912.90 = 577.90/x
  3. Step 3: Cross multiply
    612.49x = 912.90 × 577.90
  4. Step 4: Simplify right side
    612.49x = 527,557.46
  5. Step 5: Solve for x
    x = 527,557.46/612.49
  6. Step 6: Final answer
    x = 861.33

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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.