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Finding the Fourth Proportional to 760.91, 1,140.75 and 717.98

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Solution

The fourth proportional to 760.91, 1,140.75 and 717.98 is: 1,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.91 : 1,140.75 = 717.98 : x
  2. Step 2: Convert to fraction form
    760.91/1,140.75 = 717.98/x
  3. Step 3: Cross multiply
    760.91x = 1,140.75 × 717.98
  4. Step 4: Simplify right side
    760.91x = 819,029.98
  5. Step 5: Solve for x
    x = 819,029.98/760.91
  6. Step 6: Final answer
    x = 1,076.39

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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.