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Finding the Fourth Proportional to 723.21, 1,085.12 and 312.24

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Solution

The fourth proportional to 723.21, 1,085.12 and 312.24 is: 468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.21 : 1,085.12 = 312.24 : x
  2. Step 2: Convert to fraction form
    723.21/1,085.12 = 312.24/x
  3. Step 3: Cross multiply
    723.21x = 1,085.12 × 312.24
  4. Step 4: Simplify right side
    723.21x = 338,817.87
  5. Step 5: Solve for x
    x = 338,817.87/723.21
  6. Step 6: Final answer
    x = 468.49

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Half scale
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Double scale
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1.5x scale

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.