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Finding the Fourth Proportional to 462.33, 690.55 and 397.53

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Solution

The fourth proportional to 462.33, 690.55 and 397.53 is: 593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.33 : 690.55 = 397.53 : x
  2. Step 2: Convert to fraction form
    462.33/690.55 = 397.53/x
  3. Step 3: Cross multiply
    462.33x = 690.55 × 397.53
  4. Step 4: Simplify right side
    462.33x = 274,513.35
  5. Step 5: Solve for x
    x = 274,513.35/462.33
  6. Step 6: Final answer
    x = 593.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.