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Finding the Fourth Proportional to 552.04, 762.18 and 421.72

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Solution

The fourth proportional to 552.04, 762.18 and 421.72 is: 582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.04 : 762.18 = 421.72 : x
  2. Step 2: Convert to fraction form
    552.04/762.18 = 421.72/x
  3. Step 3: Cross multiply
    552.04x = 762.18 × 421.72
  4. Step 4: Simplify right side
    552.04x = 321,426.55
  5. Step 5: Solve for x
    x = 321,426.55/552.04
  6. Step 6: Final answer
    x = 582.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.