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Finding the Fourth Proportional to 1,650.10, 2,277.06 and 904

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Solution

The fourth proportional to 1,650.10, 2,277.06 and 904 is: 1,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.10 : 2,277.06 = 904 : x
  2. Step 2: Convert to fraction form
    1,650.10/2,277.06 = 904/x
  3. Step 3: Cross multiply
    1,650.10x = 2,277.06 × 904
  4. Step 4: Simplify right side
    1,650.10x = 2,058,462.24
  5. Step 5: Solve for x
    x = 2,058,462.24/1,650.10
  6. Step 6: Final answer
    x = 1,247.48

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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.