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Finding the Fourth Proportional to 867.93, 1,302.09 and 282.96

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Solution

The fourth proportional to 867.93, 1,302.09 and 282.96 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.93 : 1,302.09 = 282.96 : x
  2. Step 2: Convert to fraction form
    867.93/1,302.09 = 282.96/x
  3. Step 3: Cross multiply
    867.93x = 1,302.09 × 282.96
  4. Step 4: Simplify right side
    867.93x = 368,439.39
  5. Step 5: Solve for x
    x = 368,439.39/867.93
  6. Step 6: Final answer
    x = 424.50

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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.