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Finding the Fourth Proportional to 1,106.13, 1,658.61 and 716.32

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Solution

The fourth proportional to 1,106.13, 1,658.61 and 716.32 is: 1,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.13 : 1,658.61 = 716.32 : x
  2. Step 2: Convert to fraction form
    1,106.13/1,658.61 = 716.32/x
  3. Step 3: Cross multiply
    1,106.13x = 1,658.61 × 716.32
  4. Step 4: Simplify right side
    1,106.13x = 1,188,095.95
  5. Step 5: Solve for x
    x = 1,188,095.95/1,106.13
  6. Step 6: Final answer
    x = 1,074.10

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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.