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Finding the Fourth Proportional to 805.57, 1,111.73 and 608.74

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Solution

The fourth proportional to 805.57, 1,111.73 and 608.74 is: 840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.57 : 1,111.73 = 608.74 : x
  2. Step 2: Convert to fraction form
    805.57/1,111.73 = 608.74/x
  3. Step 3: Cross multiply
    805.57x = 1,111.73 × 608.74
  4. Step 4: Simplify right side
    805.57x = 676,754.52
  5. Step 5: Solve for x
    x = 676,754.52/805.57
  6. Step 6: Final answer
    x = 840.09

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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.