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Finding the Fourth Proportional to 805.70, 1,111.28 and 506.66

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Solution

The fourth proportional to 805.70, 1,111.28 and 506.66 is: 698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.70 : 1,111.28 = 506.66 : x
  2. Step 2: Convert to fraction form
    805.70/1,111.28 = 506.66/x
  3. Step 3: Cross multiply
    805.70x = 1,111.28 × 506.66
  4. Step 4: Simplify right side
    805.70x = 563,039.10
  5. Step 5: Solve for x
    x = 563,039.10/805.70
  6. Step 6: Final answer
    x = 698.82

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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.