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Finding the Fourth Proportional to 1,605.78, 2,407.73 and 772.47

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Solution

The fourth proportional to 1,605.78, 2,407.73 and 772.47 is: 1,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.78 : 2,407.73 = 772.47 : x
  2. Step 2: Convert to fraction form
    1,605.78/2,407.73 = 772.47/x
  3. Step 3: Cross multiply
    1,605.78x = 2,407.73 × 772.47
  4. Step 4: Simplify right side
    1,605.78x = 1,859,895.33
  5. Step 5: Solve for x
    x = 1,859,895.33/1,605.78
  6. Step 6: Final answer
    x = 1,158.25

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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.