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Finding the Fourth Proportional to 520.16, 722.57 and 515.16

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Solution

The fourth proportional to 520.16, 722.57 and 515.16 is: 715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 722.57 = 515.16 : x
  2. Step 2: Convert to fraction form
    520.16/722.57 = 515.16/x
  3. Step 3: Cross multiply
    520.16x = 722.57 × 515.16
  4. Step 4: Simplify right side
    520.16x = 372,236.59
  5. Step 5: Solve for x
    x = 372,236.59/520.16
  6. Step 6: Final answer
    x = 715.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.