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Finding the Fourth Proportional to 1,204.47, 1,811.16 and 931.23

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Solution

The fourth proportional to 1,204.47, 1,811.16 and 931.23 is: 1,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.47 : 1,811.16 = 931.23 : x
  2. Step 2: Convert to fraction form
    1,204.47/1,811.16 = 931.23/x
  3. Step 3: Cross multiply
    1,204.47x = 1,811.16 × 931.23
  4. Step 4: Simplify right side
    1,204.47x = 1,686,606.53
  5. Step 5: Solve for x
    x = 1,686,606.53/1,204.47
  6. Step 6: Final answer
    x = 1,400.29

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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.