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Finding the Fourth Proportional to 802.08, 1,103.10 and 642.84

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Solution

The fourth proportional to 802.08, 1,103.10 and 642.84 is: 884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.08 : 1,103.10 = 642.84 : x
  2. Step 2: Convert to fraction form
    802.08/1,103.10 = 642.84/x
  3. Step 3: Cross multiply
    802.08x = 1,103.10 × 642.84
  4. Step 4: Simplify right side
    802.08x = 709,116.80
  5. Step 5: Solve for x
    x = 709,116.80/802.08
  6. Step 6: Final answer
    x = 884.10

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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.