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Finding the Fourth Proportional to 1,565.19, 2,347.15 and 577.78

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Solution

The fourth proportional to 1,565.19, 2,347.15 and 577.78 is: 866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.19 : 2,347.15 = 577.78 : x
  2. Step 2: Convert to fraction form
    1,565.19/2,347.15 = 577.78/x
  3. Step 3: Cross multiply
    1,565.19x = 2,347.15 × 577.78
  4. Step 4: Simplify right side
    1,565.19x = 1,356,121.70
  5. Step 5: Solve for x
    x = 1,356,121.70/1,565.19
  6. Step 6: Final answer
    x = 866.43

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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.