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Finding the Fourth Proportional to 524.67, 723.22 and 419.43

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Solution

The fourth proportional to 524.67, 723.22 and 419.43 is: 578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.67 : 723.22 = 419.43 : x
  2. Step 2: Convert to fraction form
    524.67/723.22 = 419.43/x
  3. Step 3: Cross multiply
    524.67x = 723.22 × 419.43
  4. Step 4: Simplify right side
    524.67x = 303,334.45
  5. Step 5: Solve for x
    x = 303,334.45/524.67
  6. Step 6: Final answer
    x = 578.14

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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.