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Finding the Fourth Proportional to 831.06, 1,147.26 and 570.42

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Solution

The fourth proportional to 831.06, 1,147.26 and 570.42 is: 787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,147.26 = 570.42 : x
  2. Step 2: Convert to fraction form
    831.06/1,147.26 = 570.42/x
  3. Step 3: Cross multiply
    831.06x = 1,147.26 × 570.42
  4. Step 4: Simplify right side
    831.06x = 654,420.05
  5. Step 5: Solve for x
    x = 654,420.05/831.06
  6. Step 6: Final answer
    x = 787.45

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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.