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Finding the Fourth Proportional to 676.56, 1,012.66 and 458.94

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Solution

The fourth proportional to 676.56, 1,012.66 and 458.94 is: 686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.56 : 1,012.66 = 458.94 : x
  2. Step 2: Convert to fraction form
    676.56/1,012.66 = 458.94/x
  3. Step 3: Cross multiply
    676.56x = 1,012.66 × 458.94
  4. Step 4: Simplify right side
    676.56x = 464,750.18
  5. Step 5: Solve for x
    x = 464,750.18/676.56
  6. Step 6: Final answer
    x = 686.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.