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Finding the Fourth Proportional to 675.98, 1,012.77 and 458.78

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Solution

The fourth proportional to 675.98, 1,012.77 and 458.78 is: 687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.98 : 1,012.77 = 458.78 : x
  2. Step 2: Convert to fraction form
    675.98/1,012.77 = 458.78/x
  3. Step 3: Cross multiply
    675.98x = 1,012.77 × 458.78
  4. Step 4: Simplify right side
    675.98x = 464,638.62
  5. Step 5: Solve for x
    x = 464,638.62/675.98
  6. Step 6: Final answer
    x = 687.36

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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.