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Finding the Fourth Proportional to 748.17, 1,031.27 and 590.54

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Solution

The fourth proportional to 748.17, 1,031.27 and 590.54 is: 813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.17 : 1,031.27 = 590.54 : x
  2. Step 2: Convert to fraction form
    748.17/1,031.27 = 590.54/x
  3. Step 3: Cross multiply
    748.17x = 1,031.27 × 590.54
  4. Step 4: Simplify right side
    748.17x = 608,998.08
  5. Step 5: Solve for x
    x = 608,998.08/748.17
  6. Step 6: Final answer
    x = 813.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.