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Finding the Fourth Proportional to 862.63, 1,293.93 and 588.04

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Solution

The fourth proportional to 862.63, 1,293.93 and 588.04 is: 882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.63 : 1,293.93 = 588.04 : x
  2. Step 2: Convert to fraction form
    862.63/1,293.93 = 588.04/x
  3. Step 3: Cross multiply
    862.63x = 1,293.93 × 588.04
  4. Step 4: Simplify right side
    862.63x = 760,882.60
  5. Step 5: Solve for x
    x = 760,882.60/862.63
  6. Step 6: Final answer
    x = 882.05

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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.