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Finding the Fourth Proportional to 760.87, 1,049.86 and 480.91

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Solution

The fourth proportional to 760.87, 1,049.86 and 480.91 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.87 : 1,049.86 = 480.91 : x
  2. Step 2: Convert to fraction form
    760.87/1,049.86 = 480.91/x
  3. Step 3: Cross multiply
    760.87x = 1,049.86 × 480.91
  4. Step 4: Simplify right side
    760.87x = 504,892.59
  5. Step 5: Solve for x
    x = 504,892.59/760.87
  6. Step 6: Final answer
    x = 663.57

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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.