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Finding the Fourth Proportional to 861.16, 1,290.48 and 535.54

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Solution

The fourth proportional to 861.16, 1,290.48 and 535.54 is: 802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.16 : 1,290.48 = 535.54 : x
  2. Step 2: Convert to fraction form
    861.16/1,290.48 = 535.54/x
  3. Step 3: Cross multiply
    861.16x = 1,290.48 × 535.54
  4. Step 4: Simplify right side
    861.16x = 691,103.66
  5. Step 5: Solve for x
    x = 691,103.66/861.16
  6. Step 6: Final answer
    x = 802.53

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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.