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Finding the Fourth Proportional to 831.63, 1,146.86 and 537

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Solution

The fourth proportional to 831.63, 1,146.86 and 537 is: 740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.63 : 1,146.86 = 537 : x
  2. Step 2: Convert to fraction form
    831.63/1,146.86 = 537/x
  3. Step 3: Cross multiply
    831.63x = 1,146.86 × 537
  4. Step 4: Simplify right side
    831.63x = 615,861.14
  5. Step 5: Solve for x
    x = 615,861.14/831.63
  6. Step 6: Final answer
    x = 740.55

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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.