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Finding the Fourth Proportional to 1,565.69, 2,347.90 and 578.28

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Solution

The fourth proportional to 1,565.69, 2,347.90 and 578.28 is: 867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.69 : 2,347.90 = 578.28 : x
  2. Step 2: Convert to fraction form
    1,565.69/2,347.90 = 578.28/x
  3. Step 3: Cross multiply
    1,565.69x = 2,347.90 × 578.28
  4. Step 4: Simplify right side
    1,565.69x = 1,357,743.61
  5. Step 5: Solve for x
    x = 1,357,743.61/1,565.69
  6. Step 6: Final answer
    x = 867.19

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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.