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Finding the Fourth Proportional to 724, 1,085.26 and 313.40

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Solution

The fourth proportional to 724, 1,085.26 and 313.40 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724 : 1,085.26 = 313.40 : x
  2. Step 2: Convert to fraction form
    724/1,085.26 = 313.40/x
  3. Step 3: Cross multiply
    724x = 1,085.26 × 313.40
  4. Step 4: Simplify right side
    724x = 340,120.48
  5. Step 5: Solve for x
    x = 340,120.48/724
  6. Step 6: Final answer
    x = 469.78

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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.