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Finding the Fourth Proportional to 746.62, 1,031.40 and 590.29

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Solution

The fourth proportional to 746.62, 1,031.40 and 590.29 is: 815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.62 : 1,031.40 = 590.29 : x
  2. Step 2: Convert to fraction form
    746.62/1,031.40 = 590.29/x
  3. Step 3: Cross multiply
    746.62x = 1,031.40 × 590.29
  4. Step 4: Simplify right side
    746.62x = 608,825.11
  5. Step 5: Solve for x
    x = 608,825.11/746.62
  6. Step 6: Final answer
    x = 815.44

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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.