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Finding the Fourth Proportional to 573.77, 856.77 and 450.65

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Solution

The fourth proportional to 573.77, 856.77 and 450.65 is: 672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.77 : 856.77 = 450.65 : x
  2. Step 2: Convert to fraction form
    573.77/856.77 = 450.65/x
  3. Step 3: Cross multiply
    573.77x = 856.77 × 450.65
  4. Step 4: Simplify right side
    573.77x = 386,103.40
  5. Step 5: Solve for x
    x = 386,103.40/573.77
  6. Step 6: Final answer
    x = 672.92

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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.