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Finding the Fourth Proportional to 462.61, 690.35 and 381.61

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Solution

The fourth proportional to 462.61, 690.35 and 381.61 is: 569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.61 : 690.35 = 381.61 : x
  2. Step 2: Convert to fraction form
    462.61/690.35 = 381.61/x
  3. Step 3: Cross multiply
    462.61x = 690.35 × 381.61
  4. Step 4: Simplify right side
    462.61x = 263,444.46
  5. Step 5: Solve for x
    x = 263,444.46/462.61
  6. Step 6: Final answer
    x = 569.47

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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.