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Finding the Fourth Proportional to 867.61, 1,302.00 and 320.23

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Solution

The fourth proportional to 867.61, 1,302.00 and 320.23 is: 480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.61 : 1,302.00 = 320.23 : x
  2. Step 2: Convert to fraction form
    867.61/1,302.00 = 320.23/x
  3. Step 3: Cross multiply
    867.61x = 1,302.00 × 320.23
  4. Step 4: Simplify right side
    867.61x = 416,931.35
  5. Step 5: Solve for x
    x = 416,931.35/867.61
  6. Step 6: Final answer
    x = 480.55

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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.