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Finding the Fourth Proportional to 659.52, 984.48 and 577.50

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Solution

The fourth proportional to 659.52, 984.48 and 577.50 is: 862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 984.48 = 577.50 : x
  2. Step 2: Convert to fraction form
    659.52/984.48 = 577.50/x
  3. Step 3: Cross multiply
    659.52x = 984.48 × 577.50
  4. Step 4: Simplify right side
    659.52x = 568,537.20
  5. Step 5: Solve for x
    x = 568,537.20/659.52
  6. Step 6: Final answer
    x = 862.05

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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.