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Finding the Fourth Proportional to 723.36, 1,085.07 and 312.51

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Solution

The fourth proportional to 723.36, 1,085.07 and 312.51 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.36 : 1,085.07 = 312.51 : x
  2. Step 2: Convert to fraction form
    723.36/1,085.07 = 312.51/x
  3. Step 3: Cross multiply
    723.36x = 1,085.07 × 312.51
  4. Step 4: Simplify right side
    723.36x = 339,095.23
  5. Step 5: Solve for x
    x = 339,095.23/723.36
  6. Step 6: Final answer
    x = 468.78

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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.