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Finding the Fourth Proportional to 937.76, 1,405.58 and 571.75

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Solution

The fourth proportional to 937.76, 1,405.58 and 571.75 is: 856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.76 : 1,405.58 = 571.75 : x
  2. Step 2: Convert to fraction form
    937.76/1,405.58 = 571.75/x
  3. Step 3: Cross multiply
    937.76x = 1,405.58 × 571.75
  4. Step 4: Simplify right side
    937.76x = 803,633.34
  5. Step 5: Solve for x
    x = 803,633.34/937.76
  6. Step 6: Final answer
    x = 856.97

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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.