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Finding the Fourth Proportional to 520.02, 716.85 and 421.61

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Solution

The fourth proportional to 520.02, 716.85 and 421.61 is: 581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 716.85 = 421.61 : x
  2. Step 2: Convert to fraction form
    520.02/716.85 = 421.61/x
  3. Step 3: Cross multiply
    520.02x = 716.85 × 421.61
  4. Step 4: Simplify right side
    520.02x = 302,227.54
  5. Step 5: Solve for x
    x = 302,227.54/520.02
  6. Step 6: Final answer
    x = 581.18

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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.