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Finding the Fourth Proportional to 867.31, 1,300.08 and 347.67

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Solution

The fourth proportional to 867.31, 1,300.08 and 347.67 is: 521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.31 : 1,300.08 = 347.67 : x
  2. Step 2: Convert to fraction form
    867.31/1,300.08 = 347.67/x
  3. Step 3: Cross multiply
    867.31x = 1,300.08 × 347.67
  4. Step 4: Simplify right side
    867.31x = 451,998.81
  5. Step 5: Solve for x
    x = 451,998.81/867.31
  6. Step 6: Final answer
    x = 521.15

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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.