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Finding the Fourth Proportional to 1,117.17, 1,675.65 and 754.29

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Solution

The fourth proportional to 1,117.17, 1,675.65 and 754.29 is: 1,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.17 : 1,675.65 = 754.29 : x
  2. Step 2: Convert to fraction form
    1,117.17/1,675.65 = 754.29/x
  3. Step 3: Cross multiply
    1,117.17x = 1,675.65 × 754.29
  4. Step 4: Simplify right side
    1,117.17x = 1,263,926.04
  5. Step 5: Solve for x
    x = 1,263,926.04/1,117.17
  6. Step 6: Final answer
    x = 1,131.36

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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.