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Finding the Fourth Proportional to 937.78, 1,406.84 and 572.87

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Solution

The fourth proportional to 937.78, 1,406.84 and 572.87 is: 859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.78 : 1,406.84 = 572.87 : x
  2. Step 2: Convert to fraction form
    937.78/1,406.84 = 572.87/x
  3. Step 3: Cross multiply
    937.78x = 1,406.84 × 572.87
  4. Step 4: Simplify right side
    937.78x = 805,937.08
  5. Step 5: Solve for x
    x = 805,937.08/937.78
  6. Step 6: Final answer
    x = 859.41

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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.