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Finding the Fourth Proportional to 831.64, 1,147.78 and 477.64

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Solution

The fourth proportional to 831.64, 1,147.78 and 477.64 is: 659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.64 : 1,147.78 = 477.64 : x
  2. Step 2: Convert to fraction form
    831.64/1,147.78 = 477.64/x
  3. Step 3: Cross multiply
    831.64x = 1,147.78 × 477.64
  4. Step 4: Simplify right side
    831.64x = 548,225.64
  5. Step 5: Solve for x
    x = 548,225.64/831.64
  6. Step 6: Final answer
    x = 659.21

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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.