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Finding the Fourth Proportional to 462.32, 697.46 and 439.52

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Solution

The fourth proportional to 462.32, 697.46 and 439.52 is: 663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.32 : 697.46 = 439.52 : x
  2. Step 2: Convert to fraction form
    462.32/697.46 = 439.52/x
  3. Step 3: Cross multiply
    462.32x = 697.46 × 439.52
  4. Step 4: Simplify right side
    462.32x = 306,547.62
  5. Step 5: Solve for x
    x = 306,547.62/462.32
  6. Step 6: Final answer
    x = 663.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.