Home / 1,038.91-1,433.68-566.83

Finding the Fourth Proportional to 1,038.91, 1,433.68 and 566.83

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Solution

The fourth proportional to 1,038.91, 1,433.68 and 566.83 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.91 : 1,433.68 = 566.83 : x
  2. Step 2: Convert to fraction form
    1,038.91/1,433.68 = 566.83/x
  3. Step 3: Cross multiply
    1,038.91x = 1,433.68 × 566.83
  4. Step 4: Simplify right side
    1,038.91x = 812,645.67
  5. Step 5: Solve for x
    x = 812,645.67/1,038.91
  6. Step 6: Final answer
    x = 782.21

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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.