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Finding the Fourth Proportional to 1,043.52, 1,565.07 and 385.80

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Solution

The fourth proportional to 1,043.52, 1,565.07 and 385.80 is: 578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.52 : 1,565.07 = 385.80 : x
  2. Step 2: Convert to fraction form
    1,043.52/1,565.07 = 385.80/x
  3. Step 3: Cross multiply
    1,043.52x = 1,565.07 × 385.80
  4. Step 4: Simplify right side
    1,043.52x = 603,804.01
  5. Step 5: Solve for x
    x = 603,804.01/1,043.52
  6. Step 6: Final answer
    x = 578.62

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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.