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Finding the Fourth Proportional to 805.71, 1,206.77 and 700.25

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Solution

The fourth proportional to 805.71, 1,206.77 and 700.25 is: 1,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.71 : 1,206.77 = 700.25 : x
  2. Step 2: Convert to fraction form
    805.71/1,206.77 = 700.25/x
  3. Step 3: Cross multiply
    805.71x = 1,206.77 × 700.25
  4. Step 4: Simplify right side
    805.71x = 845,031.16
  5. Step 5: Solve for x
    x = 845,031.16/805.71
  6. Step 6: Final answer
    x = 1,048.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.