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Finding the Fourth Proportional to 813.98, 1,122.68 and 565.30

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Solution

The fourth proportional to 813.98, 1,122.68 and 565.30 is: 779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.98 : 1,122.68 = 565.30 : x
  2. Step 2: Convert to fraction form
    813.98/1,122.68 = 565.30/x
  3. Step 3: Cross multiply
    813.98x = 1,122.68 × 565.30
  4. Step 4: Simplify right side
    813.98x = 634,651.00
  5. Step 5: Solve for x
    x = 634,651.00/813.98
  6. Step 6: Final answer
    x = 779.69

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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.