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Finding the Fourth Proportional to 831.06, 1,144.53 and 725.76

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Solution

The fourth proportional to 831.06, 1,144.53 and 725.76 is: 999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,144.53 = 725.76 : x
  2. Step 2: Convert to fraction form
    831.06/1,144.53 = 725.76/x
  3. Step 3: Cross multiply
    831.06x = 1,144.53 × 725.76
  4. Step 4: Simplify right side
    831.06x = 830,654.09
  5. Step 5: Solve for x
    x = 830,654.09/831.06
  6. Step 6: Final answer
    x = 999.51

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1.5x scale

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.