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Finding the Fourth Proportional to 524.21, 722.75 and 419.45

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Solution

The fourth proportional to 524.21, 722.75 and 419.45 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.21 : 722.75 = 419.45 : x
  2. Step 2: Convert to fraction form
    524.21/722.75 = 419.45/x
  3. Step 3: Cross multiply
    524.21x = 722.75 × 419.45
  4. Step 4: Simplify right side
    524.21x = 303,151.78
  5. Step 5: Solve for x
    x = 303,151.78/524.21
  6. Step 6: Final answer
    x = 578.31

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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.