Home / 1,038.53-1,433.19-566.43

Finding the Fourth Proportional to 1,038.53, 1,433.19 and 566.43

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Solution

The fourth proportional to 1,038.53, 1,433.19 and 566.43 is: 781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.53 : 1,433.19 = 566.43 : x
  2. Step 2: Convert to fraction form
    1,038.53/1,433.19 = 566.43/x
  3. Step 3: Cross multiply
    1,038.53x = 1,433.19 × 566.43
  4. Step 4: Simplify right side
    1,038.53x = 811,798.56
  5. Step 5: Solve for x
    x = 811,798.56/1,038.53
  6. Step 6: Final answer
    x = 781.68

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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.