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Finding the Fourth Proportional to 1,316.42, 1,816.75 and 756.91

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Solution

The fourth proportional to 1,316.42, 1,816.75 and 756.91 is: 1,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.42 : 1,816.75 = 756.91 : x
  2. Step 2: Convert to fraction form
    1,316.42/1,816.75 = 756.91/x
  3. Step 3: Cross multiply
    1,316.42x = 1,816.75 × 756.91
  4. Step 4: Simplify right side
    1,316.42x = 1,375,107.16
  5. Step 5: Solve for x
    x = 1,375,107.16/1,316.42
  6. Step 6: Final answer
    x = 1,044.58

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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.