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Finding the Fourth Proportional to 573.52, 856.40 and 450.40

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Solution

The fourth proportional to 573.52, 856.40 and 450.40 is: 672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.52 : 856.40 = 450.40 : x
  2. Step 2: Convert to fraction form
    573.52/856.40 = 450.40/x
  3. Step 3: Cross multiply
    573.52x = 856.40 × 450.40
  4. Step 4: Simplify right side
    573.52x = 385,720.31
  5. Step 5: Solve for x
    x = 385,720.31/573.52
  6. Step 6: Final answer
    x = 672.55

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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.