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Finding the Fourth Proportional to 1,569.49, 2,165.64 and 906.43

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Solution

The fourth proportional to 1,569.49, 2,165.64 and 906.43 is: 1,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.49 : 2,165.64 = 906.43 : x
  2. Step 2: Convert to fraction form
    1,569.49/2,165.64 = 906.43/x
  3. Step 3: Cross multiply
    1,569.49x = 2,165.64 × 906.43
  4. Step 4: Simplify right side
    1,569.49x = 1,963,001.07
  5. Step 5: Solve for x
    x = 1,963,001.07/1,569.49
  6. Step 6: Final answer
    x = 1,250.73

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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.