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Finding the Fourth Proportional to 934.19, 1,399.07 and 470.51

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Solution

The fourth proportional to 934.19, 1,399.07 and 470.51 is: 704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.19 : 1,399.07 = 470.51 : x
  2. Step 2: Convert to fraction form
    934.19/1,399.07 = 470.51/x
  3. Step 3: Cross multiply
    934.19x = 1,399.07 × 470.51
  4. Step 4: Simplify right side
    934.19x = 658,274.07
  5. Step 5: Solve for x
    x = 658,274.07/934.19
  6. Step 6: Final answer
    x = 704.65

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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.