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Finding the Fourth Proportional to 806.95, 1,113.24 and 527.23

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Solution

The fourth proportional to 806.95, 1,113.24 and 527.23 is: 727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.95 : 1,113.24 = 527.23 : x
  2. Step 2: Convert to fraction form
    806.95/1,113.24 = 527.23/x
  3. Step 3: Cross multiply
    806.95x = 1,113.24 × 527.23
  4. Step 4: Simplify right side
    806.95x = 586,933.53
  5. Step 5: Solve for x
    x = 586,933.53/806.95
  6. Step 6: Final answer
    x = 727.35

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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.