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Finding the Fourth Proportional to 813.69, 1,123.40 and 564.93

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Solution

The fourth proportional to 813.69, 1,123.40 and 564.93 is: 779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.69 : 1,123.40 = 564.93 : x
  2. Step 2: Convert to fraction form
    813.69/1,123.40 = 564.93/x
  3. Step 3: Cross multiply
    813.69x = 1,123.40 × 564.93
  4. Step 4: Simplify right side
    813.69x = 634,643.77
  5. Step 5: Solve for x
    x = 634,643.77/813.69
  6. Step 6: Final answer
    x = 779.96

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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.