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Finding the Fourth Proportional to 1,034.05, 1,558.80 and 946.48

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Solution

The fourth proportional to 1,034.05, 1,558.80 and 946.48 is: 1,426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.05 : 1,558.80 = 946.48 : x
  2. Step 2: Convert to fraction form
    1,034.05/1,558.80 = 946.48/x
  3. Step 3: Cross multiply
    1,034.05x = 1,558.80 × 946.48
  4. Step 4: Simplify right side
    1,034.05x = 1,475,373.02
  5. Step 5: Solve for x
    x = 1,475,373.02/1,034.05
  6. Step 6: Final answer
    x = 1,426.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.