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Finding the Fourth Proportional to 1,653.72, 2,282.09 and 907.68

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Solution

The fourth proportional to 1,653.72, 2,282.09 and 907.68 is: 1,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.72 : 2,282.09 = 907.68 : x
  2. Step 2: Convert to fraction form
    1,653.72/2,282.09 = 907.68/x
  3. Step 3: Cross multiply
    1,653.72x = 2,282.09 × 907.68
  4. Step 4: Simplify right side
    1,653.72x = 2,071,398.31
  5. Step 5: Solve for x
    x = 2,071,398.31/1,653.72
  6. Step 6: Final answer
    x = 1,252.57

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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.