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Finding the Fourth Proportional to 462.32, 690.78 and 446.18

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Solution

The fourth proportional to 462.32, 690.78 and 446.18 is: 666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.32 : 690.78 = 446.18 : x
  2. Step 2: Convert to fraction form
    462.32/690.78 = 446.18/x
  3. Step 3: Cross multiply
    462.32x = 690.78 × 446.18
  4. Step 4: Simplify right side
    462.32x = 308,206.54
  5. Step 5: Solve for x
    x = 308,206.54/462.32
  6. Step 6: Final answer
    x = 666.65

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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.