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Finding the Fourth Proportional to 934.11, 1,398.45 and 728.06

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Solution

The fourth proportional to 934.11, 1,398.45 and 728.06 is: 1,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.11 : 1,398.45 = 728.06 : x
  2. Step 2: Convert to fraction form
    934.11/1,398.45 = 728.06/x
  3. Step 3: Cross multiply
    934.11x = 1,398.45 × 728.06
  4. Step 4: Simplify right side
    934.11x = 1,018,148.51
  5. Step 5: Solve for x
    x = 1,018,148.51/934.11
  6. Step 6: Final answer
    x = 1,089.97

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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.