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Finding the Fourth Proportional to 588.12, 812.52 and 471.48

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Solution

The fourth proportional to 588.12, 812.52 and 471.48 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 812.52 = 471.48 : x
  2. Step 2: Convert to fraction form
    588.12/812.52 = 471.48/x
  3. Step 3: Cross multiply
    588.12x = 812.52 × 471.48
  4. Step 4: Simplify right side
    588.12x = 383,086.93
  5. Step 5: Solve for x
    x = 383,086.93/588.12
  6. Step 6: Final answer
    x = 651.38

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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.