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Finding the Fourth Proportional to 699.08, 1,042.71 and 590.12

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Solution

The fourth proportional to 699.08, 1,042.71 and 590.12 is: 880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.08 : 1,042.71 = 590.12 : x
  2. Step 2: Convert to fraction form
    699.08/1,042.71 = 590.12/x
  3. Step 3: Cross multiply
    699.08x = 1,042.71 × 590.12
  4. Step 4: Simplify right side
    699.08x = 615,324.03
  5. Step 5: Solve for x
    x = 615,324.03/699.08
  6. Step 6: Final answer
    x = 880.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.