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Finding the Fourth Proportional to 979.48, 1,469.80 and 394.53

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Solution

The fourth proportional to 979.48, 1,469.80 and 394.53 is: 592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.48 : 1,469.80 = 394.53 : x
  2. Step 2: Convert to fraction form
    979.48/1,469.80 = 394.53/x
  3. Step 3: Cross multiply
    979.48x = 1,469.80 × 394.53
  4. Step 4: Simplify right side
    979.48x = 579,880.19
  5. Step 5: Solve for x
    x = 579,880.19/979.48
  6. Step 6: Final answer
    x = 592.03

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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.