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Finding the Fourth Proportional to 632.53, 871.93 and 499.51

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Solution

The fourth proportional to 632.53, 871.93 and 499.51 is: 688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.53 : 871.93 = 499.51 : x
  2. Step 2: Convert to fraction form
    632.53/871.93 = 499.51/x
  3. Step 3: Cross multiply
    632.53x = 871.93 × 499.51
  4. Step 4: Simplify right side
    632.53x = 435,535.26
  5. Step 5: Solve for x
    x = 435,535.26/632.53
  6. Step 6: Final answer
    x = 688.56

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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.