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Finding the Fourth Proportional to 760.82, 1,049.33 and 498.78

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Solution

The fourth proportional to 760.82, 1,049.33 and 498.78 is: 687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.82 : 1,049.33 = 498.78 : x
  2. Step 2: Convert to fraction form
    760.82/1,049.33 = 498.78/x
  3. Step 3: Cross multiply
    760.82x = 1,049.33 × 498.78
  4. Step 4: Simplify right side
    760.82x = 523,386.19
  5. Step 5: Solve for x
    x = 523,386.19/760.82
  6. Step 6: Final answer
    x = 687.93

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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.