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Finding the Fourth Proportional to 1,023.48, 1,412.13 and 581.25

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Solution

The fourth proportional to 1,023.48, 1,412.13 and 581.25 is: 801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.48 : 1,412.13 = 581.25 : x
  2. Step 2: Convert to fraction form
    1,023.48/1,412.13 = 581.25/x
  3. Step 3: Cross multiply
    1,023.48x = 1,412.13 × 581.25
  4. Step 4: Simplify right side
    1,023.48x = 820,800.56
  5. Step 5: Solve for x
    x = 820,800.56/1,023.48
  6. Step 6: Final answer
    x = 801.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.