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Finding the Fourth Proportional to 805.61, 1,111.42 and 525.75

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Solution

The fourth proportional to 805.61, 1,111.42 and 525.75 is: 725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.61 : 1,111.42 = 525.75 : x
  2. Step 2: Convert to fraction form
    805.61/1,111.42 = 525.75/x
  3. Step 3: Cross multiply
    805.61x = 1,111.42 × 525.75
  4. Step 4: Simplify right side
    805.61x = 584,327.75
  5. Step 5: Solve for x
    x = 584,327.75/805.61
  6. Step 6: Final answer
    x = 725.32

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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.