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Finding the Fourth Proportional to 839.92, 1,259.76 and 464.80

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Solution

The fourth proportional to 839.92, 1,259.76 and 464.80 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.92 : 1,259.76 = 464.80 : x
  2. Step 2: Convert to fraction form
    839.92/1,259.76 = 464.80/x
  3. Step 3: Cross multiply
    839.92x = 1,259.76 × 464.80
  4. Step 4: Simplify right side
    839.92x = 585,536.45
  5. Step 5: Solve for x
    x = 585,536.45/839.92
  6. Step 6: Final answer
    x = 697.13

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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.