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Finding the Fourth Proportional to 462.76, 689.66 and 458.92

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Solution

The fourth proportional to 462.76, 689.66 and 458.92 is: 683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.76 : 689.66 = 458.92 : x
  2. Step 2: Convert to fraction form
    462.76/689.66 = 458.92/x
  3. Step 3: Cross multiply
    462.76x = 689.66 × 458.92
  4. Step 4: Simplify right side
    462.76x = 316,498.77
  5. Step 5: Solve for x
    x = 316,498.77/462.76
  6. Step 6: Final answer
    x = 683.94

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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.