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Finding the Fourth Proportional to 867.19, 1,300.74 and 319.33

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Solution

The fourth proportional to 867.19, 1,300.74 and 319.33 is: 478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.19 : 1,300.74 = 319.33 : x
  2. Step 2: Convert to fraction form
    867.19/1,300.74 = 319.33/x
  3. Step 3: Cross multiply
    867.19x = 1,300.74 × 319.33
  4. Step 4: Simplify right side
    867.19x = 415,363.71
  5. Step 5: Solve for x
    x = 415,363.71/867.19
  6. Step 6: Final answer
    x = 478.98

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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.