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Finding the Fourth Proportional to 1,605.92, 2,216.24 and 907.28

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Solution

The fourth proportional to 1,605.92, 2,216.24 and 907.28 is: 1,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.92 : 2,216.24 = 907.28 : x
  2. Step 2: Convert to fraction form
    1,605.92/2,216.24 = 907.28/x
  3. Step 3: Cross multiply
    1,605.92x = 2,216.24 × 907.28
  4. Step 4: Simplify right side
    1,605.92x = 2,010,750.23
  5. Step 5: Solve for x
    x = 2,010,750.23/1,605.92
  6. Step 6: Final answer
    x = 1,252.09

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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.