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Finding the Fourth Proportional to 831.88, 1,147.85 and 533.39

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Solution

The fourth proportional to 831.88, 1,147.85 and 533.39 is: 735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.88 : 1,147.85 = 533.39 : x
  2. Step 2: Convert to fraction form
    831.88/1,147.85 = 533.39/x
  3. Step 3: Cross multiply
    831.88x = 1,147.85 × 533.39
  4. Step 4: Simplify right side
    831.88x = 612,247.31
  5. Step 5: Solve for x
    x = 612,247.31/831.88
  6. Step 6: Final answer
    x = 735.98

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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.