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Finding the Fourth Proportional to 1,100.16, 1,518.40 and 658.14

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Solution

The fourth proportional to 1,100.16, 1,518.40 and 658.14 is: 908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.16 : 1,518.40 = 658.14 : x
  2. Step 2: Convert to fraction form
    1,100.16/1,518.40 = 658.14/x
  3. Step 3: Cross multiply
    1,100.16x = 1,518.40 × 658.14
  4. Step 4: Simplify right side
    1,100.16x = 999,319.74
  5. Step 5: Solve for x
    x = 999,319.74/1,100.16
  6. Step 6: Final answer
    x = 908.34

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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.