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Finding the Fourth Proportional to 1,565.81, 2,348.87 and 578.89

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Solution

The fourth proportional to 1,565.81, 2,348.87 and 578.89 is: 868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.81 : 2,348.87 = 578.89 : x
  2. Step 2: Convert to fraction form
    1,565.81/2,348.87 = 578.89/x
  3. Step 3: Cross multiply
    1,565.81x = 2,348.87 × 578.89
  4. Step 4: Simplify right side
    1,565.81x = 1,359,729.61
  5. Step 5: Solve for x
    x = 1,359,729.61/1,565.81
  6. Step 6: Final answer
    x = 868.39

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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.