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Finding the Fourth Proportional to 520.80, 722.28 and 496.80

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Solution

The fourth proportional to 520.80, 722.28 and 496.80 is: 689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.80 : 722.28 = 496.80 : x
  2. Step 2: Convert to fraction form
    520.80/722.28 = 496.80/x
  3. Step 3: Cross multiply
    520.80x = 722.28 × 496.80
  4. Step 4: Simplify right side
    520.80x = 358,828.70
  5. Step 5: Solve for x
    x = 358,828.70/520.80
  6. Step 6: Final answer
    x = 689.00

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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.