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Finding the Fourth Proportional to 901, 1,242.48 and 586.36

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Solution

The fourth proportional to 901, 1,242.48 and 586.36 is: 808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    901 : 1,242.48 = 586.36 : x
  2. Step 2: Convert to fraction form
    901/1,242.48 = 586.36/x
  3. Step 3: Cross multiply
    901x = 1,242.48 × 586.36
  4. Step 4: Simplify right side
    901x = 728,540.57
  5. Step 5: Solve for x
    x = 728,540.57/901
  6. Step 6: Final answer
    x = 808.59

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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.