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Finding the Fourth Proportional to 831.95, 1,148.34 and 496.10

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Solution

The fourth proportional to 831.95, 1,148.34 and 496.10 is: 684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.95 : 1,148.34 = 496.10 : x
  2. Step 2: Convert to fraction form
    831.95/1,148.34 = 496.10/x
  3. Step 3: Cross multiply
    831.95x = 1,148.34 × 496.10
  4. Step 4: Simplify right side
    831.95x = 569,683.87
  5. Step 5: Solve for x
    x = 569,683.87/831.95
  6. Step 6: Final answer
    x = 684.76

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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.