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Finding the Fourth Proportional to 1,316.54, 1,816.77 and 756.93

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Solution

The fourth proportional to 1,316.54, 1,816.77 and 756.93 is: 1,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.54 : 1,816.77 = 756.93 : x
  2. Step 2: Convert to fraction form
    1,316.54/1,816.77 = 756.93/x
  3. Step 3: Cross multiply
    1,316.54x = 1,816.77 × 756.93
  4. Step 4: Simplify right side
    1,316.54x = 1,375,167.72
  5. Step 5: Solve for x
    x = 1,375,167.72/1,316.54
  6. Step 6: Final answer
    x = 1,044.53

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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.