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Finding the Fourth Proportional to 813.65, 1,123.27 and 565.18

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Solution

The fourth proportional to 813.65, 1,123.27 and 565.18 is: 780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.65 : 1,123.27 = 565.18 : x
  2. Step 2: Convert to fraction form
    813.65/1,123.27 = 565.18/x
  3. Step 3: Cross multiply
    813.65x = 1,123.27 × 565.18
  4. Step 4: Simplify right side
    813.65x = 634,845.52
  5. Step 5: Solve for x
    x = 634,845.52/813.65
  6. Step 6: Final answer
    x = 780.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.