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Finding the Fourth Proportional to 867.93, 1,301.57 and 312.48

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Solution

The fourth proportional to 867.93, 1,301.57 and 312.48 is: 468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.93 : 1,301.57 = 312.48 : x
  2. Step 2: Convert to fraction form
    867.93/1,301.57 = 312.48/x
  3. Step 3: Cross multiply
    867.93x = 1,301.57 × 312.48
  4. Step 4: Simplify right side
    867.93x = 406,713.03
  5. Step 5: Solve for x
    x = 406,713.03/867.93
  6. Step 6: Final answer
    x = 468.60

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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.