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Finding the Fourth Proportional to 676.98, 1,014.38 and 493.52

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Solution

The fourth proportional to 676.98, 1,014.38 and 493.52 is: 739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.98 : 1,014.38 = 493.52 : x
  2. Step 2: Convert to fraction form
    676.98/1,014.38 = 493.52/x
  3. Step 3: Cross multiply
    676.98x = 1,014.38 × 493.52
  4. Step 4: Simplify right side
    676.98x = 500,616.82
  5. Step 5: Solve for x
    x = 500,616.82/676.98
  6. Step 6: Final answer
    x = 739.49

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1.5x scale

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.