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Finding the Fourth Proportional to 1,316.80, 1,817.26 and 757.29

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Solution

The fourth proportional to 1,316.80, 1,817.26 and 757.29 is: 1,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.80 : 1,817.26 = 757.29 : x
  2. Step 2: Convert to fraction form
    1,316.80/1,817.26 = 757.29/x
  3. Step 3: Cross multiply
    1,316.80x = 1,817.26 × 757.29
  4. Step 4: Simplify right side
    1,316.80x = 1,376,190.93
  5. Step 5: Solve for x
    x = 1,376,190.93/1,316.80
  6. Step 6: Final answer
    x = 1,045.10

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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.