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Finding the Fourth Proportional to 1,054.47, 1,580.85 and 939.14

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Solution

The fourth proportional to 1,054.47, 1,580.85 and 939.14 is: 1,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.47 : 1,580.85 = 939.14 : x
  2. Step 2: Convert to fraction form
    1,054.47/1,580.85 = 939.14/x
  3. Step 3: Cross multiply
    1,054.47x = 1,580.85 × 939.14
  4. Step 4: Simplify right side
    1,054.47x = 1,484,626.87
  5. Step 5: Solve for x
    x = 1,484,626.87/1,054.47
  6. Step 6: Final answer
    x = 1,407.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.