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Finding the Fourth Proportional to 611.76, 842.49 and 538.05

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Solution

The fourth proportional to 611.76, 842.49 and 538.05 is: 740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.76 : 842.49 = 538.05 : x
  2. Step 2: Convert to fraction form
    611.76/842.49 = 538.05/x
  3. Step 3: Cross multiply
    611.76x = 842.49 × 538.05
  4. Step 4: Simplify right side
    611.76x = 453,301.74
  5. Step 5: Solve for x
    x = 453,301.74/611.76
  6. Step 6: Final answer
    x = 740.98

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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.