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Finding the Fourth Proportional to 802.49, 1,108.19 and 590.81

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Solution

The fourth proportional to 802.49, 1,108.19 and 590.81 is: 815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.49 : 1,108.19 = 590.81 : x
  2. Step 2: Convert to fraction form
    802.49/1,108.19 = 590.81/x
  3. Step 3: Cross multiply
    802.49x = 1,108.19 × 590.81
  4. Step 4: Simplify right side
    802.49x = 654,729.73
  5. Step 5: Solve for x
    x = 654,729.73/802.49
  6. Step 6: Final answer
    x = 815.87

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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.