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Finding the Fourth Proportional to 1,048.38, 1,572.77 and 585.90

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Solution

The fourth proportional to 1,048.38, 1,572.77 and 585.90 is: 878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.38 : 1,572.77 = 585.90 : x
  2. Step 2: Convert to fraction form
    1,048.38/1,572.77 = 585.90/x
  3. Step 3: Cross multiply
    1,048.38x = 1,572.77 × 585.90
  4. Step 4: Simplify right side
    1,048.38x = 921,483.01
  5. Step 5: Solve for x
    x = 921,483.01/1,048.38
  6. Step 6: Final answer
    x = 878.96

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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.