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Finding the Fourth Proportional to 934.74, 1,398.78 and 907.02

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Solution

The fourth proportional to 934.74, 1,398.78 and 907.02 is: 1,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.74 : 1,398.78 = 907.02 : x
  2. Step 2: Convert to fraction form
    934.74/1,398.78 = 907.02/x
  3. Step 3: Cross multiply
    934.74x = 1,398.78 × 907.02
  4. Step 4: Simplify right side
    934.74x = 1,268,721.44
  5. Step 5: Solve for x
    x = 1,268,721.44/934.74
  6. Step 6: Final answer
    x = 1,357.30

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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.