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Finding the Fourth Proportional to 574.68, 856.50 and 573.77

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Solution

The fourth proportional to 574.68, 856.50 and 573.77 is: 855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 856.50 = 573.77 : x
  2. Step 2: Convert to fraction form
    574.68/856.50 = 573.77/x
  3. Step 3: Cross multiply
    574.68x = 856.50 × 573.77
  4. Step 4: Simplify right side
    574.68x = 491,434.01
  5. Step 5: Solve for x
    x = 491,434.01/574.68
  6. Step 6: Final answer
    x = 855.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.