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Finding the Fourth Proportional to 609.88, 909.52 and 546.72

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Solution

The fourth proportional to 609.88, 909.52 and 546.72 is: 815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.88 : 909.52 = 546.72 : x
  2. Step 2: Convert to fraction form
    609.88/909.52 = 546.72/x
  3. Step 3: Cross multiply
    609.88x = 909.52 × 546.72
  4. Step 4: Simplify right side
    609.88x = 497,252.77
  5. Step 5: Solve for x
    x = 497,252.77/609.88
  6. Step 6: Final answer
    x = 815.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.