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Finding the Fourth Proportional to 763.17, 1,145.31 and 590.26

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Solution

The fourth proportional to 763.17, 1,145.31 and 590.26 is: 885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.17 : 1,145.31 = 590.26 : x
  2. Step 2: Convert to fraction form
    763.17/1,145.31 = 590.26/x
  3. Step 3: Cross multiply
    763.17x = 1,145.31 × 590.26
  4. Step 4: Simplify right side
    763.17x = 676,024.87
  5. Step 5: Solve for x
    x = 676,024.87/763.17
  6. Step 6: Final answer
    x = 885.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.