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Finding the Fourth Proportional to 800.47, 1,101.18 and 652.78

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Solution

The fourth proportional to 800.47, 1,101.18 and 652.78 is: 898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.47 : 1,101.18 = 652.78 : x
  2. Step 2: Convert to fraction form
    800.47/1,101.18 = 652.78/x
  3. Step 3: Cross multiply
    800.47x = 1,101.18 × 652.78
  4. Step 4: Simplify right side
    800.47x = 718,828.28
  5. Step 5: Solve for x
    x = 718,828.28/800.47
  6. Step 6: Final answer
    x = 898.01

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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.