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Finding the Fourth Proportional to 803.30, 1,108.68 and 582.17

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Solution

The fourth proportional to 803.30, 1,108.68 and 582.17 is: 803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.30 : 1,108.68 = 582.17 : x
  2. Step 2: Convert to fraction form
    803.30/1,108.68 = 582.17/x
  3. Step 3: Cross multiply
    803.30x = 1,108.68 × 582.17
  4. Step 4: Simplify right side
    803.30x = 645,440.24
  5. Step 5: Solve for x
    x = 645,440.24/803.30
  6. Step 6: Final answer
    x = 803.49

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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.