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Finding the Fourth Proportional to 1,039.04, 1,557.48 and 985.04

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Solution

The fourth proportional to 1,039.04, 1,557.48 and 985.04 is: 1,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.04 : 1,557.48 = 985.04 : x
  2. Step 2: Convert to fraction form
    1,039.04/1,557.48 = 985.04/x
  3. Step 3: Cross multiply
    1,039.04x = 1,557.48 × 985.04
  4. Step 4: Simplify right side
    1,039.04x = 1,534,180.10
  5. Step 5: Solve for x
    x = 1,534,180.10/1,039.04
  6. Step 6: Final answer
    x = 1,476.54

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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.