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Finding the Fourth Proportional to 723.48, 1,085.36 and 312.64

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Solution

The fourth proportional to 723.48, 1,085.36 and 312.64 is: 469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.48 : 1,085.36 = 312.64 : x
  2. Step 2: Convert to fraction form
    723.48/1,085.36 = 312.64/x
  3. Step 3: Cross multiply
    723.48x = 1,085.36 × 312.64
  4. Step 4: Simplify right side
    723.48x = 339,326.95
  5. Step 5: Solve for x
    x = 339,326.95/723.48
  6. Step 6: Final answer
    x = 469.02

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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.