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Finding the Fourth Proportional to 1,102.18, 1,521.05 and 659.99

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Solution

The fourth proportional to 1,102.18, 1,521.05 and 659.99 is: 910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.18 : 1,521.05 = 659.99 : x
  2. Step 2: Convert to fraction form
    1,102.18/1,521.05 = 659.99/x
  3. Step 3: Cross multiply
    1,102.18x = 1,521.05 × 659.99
  4. Step 4: Simplify right side
    1,102.18x = 1,003,886.09
  5. Step 5: Solve for x
    x = 1,003,886.09/1,102.18
  6. Step 6: Final answer
    x = 910.82

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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.