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Finding the Fourth Proportional to 805.89, 1,111.80 and 543.99

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Solution

The fourth proportional to 805.89, 1,111.80 and 543.99 is: 750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.89 : 1,111.80 = 543.99 : x
  2. Step 2: Convert to fraction form
    805.89/1,111.80 = 543.99/x
  3. Step 3: Cross multiply
    805.89x = 1,111.80 × 543.99
  4. Step 4: Simplify right side
    805.89x = 604,808.08
  5. Step 5: Solve for x
    x = 604,808.08/805.89
  6. Step 6: Final answer
    x = 750.48

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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.