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Finding the Fourth Proportional to 1,276.91, 1,762.24 and 717.42

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Solution

The fourth proportional to 1,276.91, 1,762.24 and 717.42 is: 990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.91 : 1,762.24 = 717.42 : x
  2. Step 2: Convert to fraction form
    1,276.91/1,762.24 = 717.42/x
  3. Step 3: Cross multiply
    1,276.91x = 1,762.24 × 717.42
  4. Step 4: Simplify right side
    1,276.91x = 1,264,266.22
  5. Step 5: Solve for x
    x = 1,264,266.22/1,276.91
  6. Step 6: Final answer
    x = 990.10

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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.