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Finding the Fourth Proportional to 802.04, 1,105.62 and 491

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Solution

The fourth proportional to 802.04, 1,105.62 and 491 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,105.62 = 491 : x
  2. Step 2: Convert to fraction form
    802.04/1,105.62 = 491/x
  3. Step 3: Cross multiply
    802.04x = 1,105.62 × 491
  4. Step 4: Simplify right side
    802.04x = 542,859.42
  5. Step 5: Solve for x
    x = 542,859.42/802.04
  6. Step 6: Final answer
    x = 676.85

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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.