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Finding the Fourth Proportional to 611.90, 919.65 and 532.70

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Solution

The fourth proportional to 611.90, 919.65 and 532.70 is: 800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.90 : 919.65 = 532.70 : x
  2. Step 2: Convert to fraction form
    611.90/919.65 = 532.70/x
  3. Step 3: Cross multiply
    611.90x = 919.65 × 532.70
  4. Step 4: Simplify right side
    611.90x = 489,897.56
  5. Step 5: Solve for x
    x = 489,897.56/611.90
  6. Step 6: Final answer
    x = 800.62

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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.