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Finding the Fourth Proportional to 611.20, 841.50 and 512.74

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Solution

The fourth proportional to 611.20, 841.50 and 512.74 is: 705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.20 : 841.50 = 512.74 : x
  2. Step 2: Convert to fraction form
    611.20/841.50 = 512.74/x
  3. Step 3: Cross multiply
    611.20x = 841.50 × 512.74
  4. Step 4: Simplify right side
    611.20x = 431,470.71
  5. Step 5: Solve for x
    x = 431,470.71/611.20
  6. Step 6: Final answer
    x = 705.94

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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.