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Finding the Fourth Proportional to 675.54, 933.12 and 489.65

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Solution

The fourth proportional to 675.54, 933.12 and 489.65 is: 676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.54 : 933.12 = 489.65 : x
  2. Step 2: Convert to fraction form
    675.54/933.12 = 489.65/x
  3. Step 3: Cross multiply
    675.54x = 933.12 × 489.65
  4. Step 4: Simplify right side
    675.54x = 456,897.54
  5. Step 5: Solve for x
    x = 456,897.54/675.54
  6. Step 6: Final answer
    x = 676.34

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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.