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Finding the Fourth Proportional to 723.50, 1,084.68 and 312.35

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Solution

The fourth proportional to 723.50, 1,084.68 and 312.35 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.50 : 1,084.68 = 312.35 : x
  2. Step 2: Convert to fraction form
    723.50/1,084.68 = 312.35/x
  3. Step 3: Cross multiply
    723.50x = 1,084.68 × 312.35
  4. Step 4: Simplify right side
    723.50x = 338,802.10
  5. Step 5: Solve for x
    x = 338,802.10/723.50
  6. Step 6: Final answer
    x = 468.28

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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.