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Finding the Fourth Proportional to 861.56, 1,189.32 and 512.36

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Solution

The fourth proportional to 861.56, 1,189.32 and 512.36 is: 707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.56 : 1,189.32 = 512.36 : x
  2. Step 2: Convert to fraction form
    861.56/1,189.32 = 512.36/x
  3. Step 3: Cross multiply
    861.56x = 1,189.32 × 512.36
  4. Step 4: Simplify right side
    861.56x = 609,360.00
  5. Step 5: Solve for x
    x = 609,360.00/861.56
  6. Step 6: Final answer
    x = 707.28

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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.