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Finding the Fourth Proportional to 1,098.10, 1,645.33 and 772.79

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Solution

The fourth proportional to 1,098.10, 1,645.33 and 772.79 is: 1,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.10 : 1,645.33 = 772.79 : x
  2. Step 2: Convert to fraction form
    1,098.10/1,645.33 = 772.79/x
  3. Step 3: Cross multiply
    1,098.10x = 1,645.33 × 772.79
  4. Step 4: Simplify right side
    1,098.10x = 1,271,482.48
  5. Step 5: Solve for x
    x = 1,271,482.48/1,098.10
  6. Step 6: Final answer
    x = 1,157.89

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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.