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Finding the Fourth Proportional to 806.72, 1,214.88 and 710.25

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Solution

The fourth proportional to 806.72, 1,214.88 and 710.25 is: 1,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.72 : 1,214.88 = 710.25 : x
  2. Step 2: Convert to fraction form
    806.72/1,214.88 = 710.25/x
  3. Step 3: Cross multiply
    806.72x = 1,214.88 × 710.25
  4. Step 4: Simplify right side
    806.72x = 862,868.52
  5. Step 5: Solve for x
    x = 862,868.52/806.72
  6. Step 6: Final answer
    x = 1,069.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.