Home / 1,023.30-1,412.15-557.55

Finding the Fourth Proportional to 1,023.30, 1,412.15 and 557.55

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Solution

The fourth proportional to 1,023.30, 1,412.15 and 557.55 is: 769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.30 : 1,412.15 = 557.55 : x
  2. Step 2: Convert to fraction form
    1,023.30/1,412.15 = 557.55/x
  3. Step 3: Cross multiply
    1,023.30x = 1,412.15 × 557.55
  4. Step 4: Simplify right side
    1,023.30x = 787,341.44
  5. Step 5: Solve for x
    x = 787,341.44/1,023.30
  6. Step 6: Final answer
    x = 769.41

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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.