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Finding the Fourth Proportional to 937.38, 1,405.35 and 857.10

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Solution

The fourth proportional to 937.38, 1,405.35 and 857.10 is: 1,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.38 : 1,405.35 = 857.10 : x
  2. Step 2: Convert to fraction form
    937.38/1,405.35 = 857.10/x
  3. Step 3: Cross multiply
    937.38x = 1,405.35 × 857.10
  4. Step 4: Simplify right side
    937.38x = 1,204,525.49
  5. Step 5: Solve for x
    x = 1,204,525.49/937.38
  6. Step 6: Final answer
    x = 1,284.99

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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.