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Finding the Fourth Proportional to 1,097.68, 1,648.14 and 635.92

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Solution

The fourth proportional to 1,097.68, 1,648.14 and 635.92 is: 954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.68 : 1,648.14 = 635.92 : x
  2. Step 2: Convert to fraction form
    1,097.68/1,648.14 = 635.92/x
  3. Step 3: Cross multiply
    1,097.68x = 1,648.14 × 635.92
  4. Step 4: Simplify right side
    1,097.68x = 1,048,085.19
  5. Step 5: Solve for x
    x = 1,048,085.19/1,097.68
  6. Step 6: Final answer
    x = 954.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.