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Finding the Fourth Proportional to 1,177.08, 1,765.63 and 560.85

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Solution

The fourth proportional to 1,177.08, 1,765.63 and 560.85 is: 841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.08 : 1,765.63 = 560.85 : x
  2. Step 2: Convert to fraction form
    1,177.08/1,765.63 = 560.85/x
  3. Step 3: Cross multiply
    1,177.08x = 1,765.63 × 560.85
  4. Step 4: Simplify right side
    1,177.08x = 990,247.67
  5. Step 5: Solve for x
    x = 990,247.67/1,177.08
  6. Step 6: Final answer
    x = 841.28

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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.