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Finding the Fourth Proportional to 497.15, 686.40 and 444.52

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Solution

The fourth proportional to 497.15, 686.40 and 444.52 is: 613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.15 : 686.40 = 444.52 : x
  2. Step 2: Convert to fraction form
    497.15/686.40 = 444.52/x
  3. Step 3: Cross multiply
    497.15x = 686.40 × 444.52
  4. Step 4: Simplify right side
    497.15x = 305,118.53
  5. Step 5: Solve for x
    x = 305,118.53/497.15
  6. Step 6: Final answer
    x = 613.74

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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.