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Finding the Fourth Proportional to 656.01, 981.57 and 577.55

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Solution

The fourth proportional to 656.01, 981.57 and 577.55 is: 864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.01 : 981.57 = 577.55 : x
  2. Step 2: Convert to fraction form
    656.01/981.57 = 577.55/x
  3. Step 3: Cross multiply
    656.01x = 981.57 × 577.55
  4. Step 4: Simplify right side
    656.01x = 566,900.85
  5. Step 5: Solve for x
    x = 566,900.85/656.01
  6. Step 6: Final answer
    x = 864.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.