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Finding the Fourth Proportional to 1,098.86, 1,648.02 and 505.94

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Solution

The fourth proportional to 1,098.86, 1,648.02 and 505.94 is: 758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.86 : 1,648.02 = 505.94 : x
  2. Step 2: Convert to fraction form
    1,098.86/1,648.02 = 505.94/x
  3. Step 3: Cross multiply
    1,098.86x = 1,648.02 × 505.94
  4. Step 4: Simplify right side
    1,098.86x = 833,799.24
  5. Step 5: Solve for x
    x = 833,799.24/1,098.86
  6. Step 6: Final answer
    x = 758.79

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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.