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Finding the Fourth Proportional to 760.71, 1,049.18 and 499.17

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Solution

The fourth proportional to 760.71, 1,049.18 and 499.17 is: 688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.71 : 1,049.18 = 499.17 : x
  2. Step 2: Convert to fraction form
    760.71/1,049.18 = 499.17/x
  3. Step 3: Cross multiply
    760.71x = 1,049.18 × 499.17
  4. Step 4: Simplify right side
    760.71x = 523,716.68
  5. Step 5: Solve for x
    x = 523,716.68/760.71
  6. Step 6: Final answer
    x = 688.46

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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.