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Finding the Fourth Proportional to 570.23, 781.78 and 559.85

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Solution

The fourth proportional to 570.23, 781.78 and 559.85 is: 767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.23 : 781.78 = 559.85 : x
  2. Step 2: Convert to fraction form
    570.23/781.78 = 559.85/x
  3. Step 3: Cross multiply
    570.23x = 781.78 × 559.85
  4. Step 4: Simplify right side
    570.23x = 437,679.53
  5. Step 5: Solve for x
    x = 437,679.53/570.23
  6. Step 6: Final answer
    x = 767.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.