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Finding the Fourth Proportional to 802.18, 1,105.53 and 654.34

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Solution

The fourth proportional to 802.18, 1,105.53 and 654.34 is: 901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.18 : 1,105.53 = 654.34 : x
  2. Step 2: Convert to fraction form
    802.18/1,105.53 = 654.34/x
  3. Step 3: Cross multiply
    802.18x = 1,105.53 × 654.34
  4. Step 4: Simplify right side
    802.18x = 723,392.50
  5. Step 5: Solve for x
    x = 723,392.50/802.18
  6. Step 6: Final answer
    x = 901.78

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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.