Home / 1,023.02-1,411.80-557.27

Finding the Fourth Proportional to 1,023.02, 1,411.80 and 557.27

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Solution

The fourth proportional to 1,023.02, 1,411.80 and 557.27 is: 769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.02 : 1,411.80 = 557.27 : x
  2. Step 2: Convert to fraction form
    1,023.02/1,411.80 = 557.27/x
  3. Step 3: Cross multiply
    1,023.02x = 1,411.80 × 557.27
  4. Step 4: Simplify right side
    1,023.02x = 786,753.79
  5. Step 5: Solve for x
    x = 786,753.79/1,023.02
  6. Step 6: Final answer
    x = 769.05

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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.