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Finding the Fourth Proportional to 631.42, 871.05 and 543.94

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Solution

The fourth proportional to 631.42, 871.05 and 543.94 is: 750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.42 : 871.05 = 543.94 : x
  2. Step 2: Convert to fraction form
    631.42/871.05 = 543.94/x
  3. Step 3: Cross multiply
    631.42x = 871.05 × 543.94
  4. Step 4: Simplify right side
    631.42x = 473,798.80
  5. Step 5: Solve for x
    x = 473,798.80/631.42
  6. Step 6: Final answer
    x = 750.37

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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.