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Finding the Fourth Proportional to 1,109.96, 1,531.14 and 716.84

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Solution

The fourth proportional to 1,109.96, 1,531.14 and 716.84 is: 988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.96 : 1,531.14 = 716.84 : x
  2. Step 2: Convert to fraction form
    1,109.96/1,531.14 = 716.84/x
  3. Step 3: Cross multiply
    1,109.96x = 1,531.14 × 716.84
  4. Step 4: Simplify right side
    1,109.96x = 1,097,582.40
  5. Step 5: Solve for x
    x = 1,097,582.40/1,109.96
  6. Step 6: Final answer
    x = 988.85

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1.5x scale

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.