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Finding the Fourth Proportional to 573.24, 856.03 and 450.12

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Solution

The fourth proportional to 573.24, 856.03 and 450.12 is: 672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.24 : 856.03 = 450.12 : x
  2. Step 2: Convert to fraction form
    573.24/856.03 = 450.12/x
  3. Step 3: Cross multiply
    573.24x = 856.03 × 450.12
  4. Step 4: Simplify right side
    573.24x = 385,316.22
  5. Step 5: Solve for x
    x = 385,316.22/573.24
  6. Step 6: Final answer
    x = 672.17

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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.