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Finding the Fourth Proportional to 845.52, 1,159.77 and 831.76

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Solution

The fourth proportional to 845.52, 1,159.77 and 831.76 is: 1,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.52 : 1,159.77 = 831.76 : x
  2. Step 2: Convert to fraction form
    845.52/1,159.77 = 831.76/x
  3. Step 3: Cross multiply
    845.52x = 1,159.77 × 831.76
  4. Step 4: Simplify right side
    845.52x = 964,650.30
  5. Step 5: Solve for x
    x = 964,650.30/845.52
  6. Step 6: Final answer
    x = 1,140.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.