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Finding the Fourth Proportional to 742.48, 1,111.66 and 559.32

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Solution

The fourth proportional to 742.48, 1,111.66 and 559.32 is: 837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.48 : 1,111.66 = 559.32 : x
  2. Step 2: Convert to fraction form
    742.48/1,111.66 = 559.32/x
  3. Step 3: Cross multiply
    742.48x = 1,111.66 × 559.32
  4. Step 4: Simplify right side
    742.48x = 621,773.67
  5. Step 5: Solve for x
    x = 621,773.67/742.48
  6. Step 6: Final answer
    x = 837.43

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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.