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Finding the Fourth Proportional to 1,039.45, 1,434.23 and 661.49

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Solution

The fourth proportional to 1,039.45, 1,434.23 and 661.49 is: 912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.45 : 1,434.23 = 661.49 : x
  2. Step 2: Convert to fraction form
    1,039.45/1,434.23 = 661.49/x
  3. Step 3: Cross multiply
    1,039.45x = 1,434.23 × 661.49
  4. Step 4: Simplify right side
    1,039.45x = 948,726.18
  5. Step 5: Solve for x
    x = 948,726.18/1,039.45
  6. Step 6: Final answer
    x = 912.72

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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.