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Finding the Fourth Proportional to 675.68, 931.20 and 500.96

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Solution

The fourth proportional to 675.68, 931.20 and 500.96 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.68 : 931.20 = 500.96 : x
  2. Step 2: Convert to fraction form
    675.68/931.20 = 500.96/x
  3. Step 3: Cross multiply
    675.68x = 931.20 × 500.96
  4. Step 4: Simplify right side
    675.68x = 466,493.95
  5. Step 5: Solve for x
    x = 466,493.95/675.68
  6. Step 6: Final answer
    x = 690.41

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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.