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Finding the Fourth Proportional to 676.38, 933.12 and 489.55

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Solution

The fourth proportional to 676.38, 933.12 and 489.55 is: 675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.38 : 933.12 = 489.55 : x
  2. Step 2: Convert to fraction form
    676.38/933.12 = 489.55/x
  3. Step 3: Cross multiply
    676.38x = 933.12 × 489.55
  4. Step 4: Simplify right side
    676.38x = 456,808.90
  5. Step 5: Solve for x
    x = 456,808.90/676.38
  6. Step 6: Final answer
    x = 675.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.