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Finding the Fourth Proportional to 861.75, 1,290.26 and 602.01

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Solution

The fourth proportional to 861.75, 1,290.26 and 602.01 is: 901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.75 : 1,290.26 = 602.01 : x
  2. Step 2: Convert to fraction form
    861.75/1,290.26 = 602.01/x
  3. Step 3: Cross multiply
    861.75x = 1,290.26 × 602.01
  4. Step 4: Simplify right side
    861.75x = 776,750.93
  5. Step 5: Solve for x
    x = 776,750.93/861.75
  6. Step 6: Final answer
    x = 901.36

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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.