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Finding the Fourth Proportional to 654.68, 977.54 and 577.02

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Solution

The fourth proportional to 654.68, 977.54 and 577.02 is: 861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.68 : 977.54 = 577.02 : x
  2. Step 2: Convert to fraction form
    654.68/977.54 = 577.02/x
  3. Step 3: Cross multiply
    654.68x = 977.54 × 577.02
  4. Step 4: Simplify right side
    654.68x = 564,060.91
  5. Step 5: Solve for x
    x = 564,060.91/654.68
  6. Step 6: Final answer
    x = 861.58

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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.