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Finding the Fourth Proportional to 939.74, 1,296.69 and 590.18

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Solution

The fourth proportional to 939.74, 1,296.69 and 590.18 is: 814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.74 : 1,296.69 = 590.18 : x
  2. Step 2: Convert to fraction form
    939.74/1,296.69 = 590.18/x
  3. Step 3: Cross multiply
    939.74x = 1,296.69 × 590.18
  4. Step 4: Simplify right side
    939.74x = 765,280.50
  5. Step 5: Solve for x
    x = 765,280.50/939.74
  6. Step 6: Final answer
    x = 814.35

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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.