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Finding the Fourth Proportional to 1,117.80, 1,676.70 and 991.08

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Solution

The fourth proportional to 1,117.80, 1,676.70 and 991.08 is: 1,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.80 : 1,676.70 = 991.08 : x
  2. Step 2: Convert to fraction form
    1,117.80/1,676.70 = 991.08/x
  3. Step 3: Cross multiply
    1,117.80x = 1,676.70 × 991.08
  4. Step 4: Simplify right side
    1,117.80x = 1,661,743.84
  5. Step 5: Solve for x
    x = 1,661,743.84/1,117.80
  6. Step 6: Final answer
    x = 1,486.62

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1.5x scale

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.