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Finding the Fourth Proportional to 934.54, 1,400.40 and 569.14

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Solution

The fourth proportional to 934.54, 1,400.40 and 569.14 is: 852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.54 : 1,400.40 = 569.14 : x
  2. Step 2: Convert to fraction form
    934.54/1,400.40 = 569.14/x
  3. Step 3: Cross multiply
    934.54x = 1,400.40 × 569.14
  4. Step 4: Simplify right side
    934.54x = 797,023.66
  5. Step 5: Solve for x
    x = 797,023.66/934.54
  6. Step 6: Final answer
    x = 852.85

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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.