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Finding the Fourth Proportional to 520.50, 716.13 and 388.98

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Solution

The fourth proportional to 520.50, 716.13 and 388.98 is: 535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.50 : 716.13 = 388.98 : x
  2. Step 2: Convert to fraction form
    520.50/716.13 = 388.98/x
  3. Step 3: Cross multiply
    520.50x = 716.13 × 388.98
  4. Step 4: Simplify right side
    520.50x = 278,560.25
  5. Step 5: Solve for x
    x = 278,560.25/520.50
  6. Step 6: Final answer
    x = 535.18

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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.