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Finding the Fourth Proportional to 1,056.21, 1,456.05 and 724.11

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Solution

The fourth proportional to 1,056.21, 1,456.05 and 724.11 is: 998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.21 : 1,456.05 = 724.11 : x
  2. Step 2: Convert to fraction form
    1,056.21/1,456.05 = 724.11/x
  3. Step 3: Cross multiply
    1,056.21x = 1,456.05 × 724.11
  4. Step 4: Simplify right side
    1,056.21x = 1,054,336.74
  5. Step 5: Solve for x
    x = 1,054,336.74/1,056.21
  6. Step 6: Final answer
    x = 998.23

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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.