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Finding the Fourth Proportional to 1,077.50, 1,486.96 and 611.76

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Solution

The fourth proportional to 1,077.50, 1,486.96 and 611.76 is: 844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.50 : 1,486.96 = 611.76 : x
  2. Step 2: Convert to fraction form
    1,077.50/1,486.96 = 611.76/x
  3. Step 3: Cross multiply
    1,077.50x = 1,486.96 × 611.76
  4. Step 4: Simplify right side
    1,077.50x = 909,662.65
  5. Step 5: Solve for x
    x = 909,662.65/1,077.50
  6. Step 6: Final answer
    x = 844.23

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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.