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Finding the Fourth Proportional to 522.75, 722.76 and 499.80

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Solution

The fourth proportional to 522.75, 722.76 and 499.80 is: 691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 722.76 = 499.80 : x
  2. Step 2: Convert to fraction form
    522.75/722.76 = 499.80/x
  3. Step 3: Cross multiply
    522.75x = 722.76 × 499.80
  4. Step 4: Simplify right side
    522.75x = 361,235.45
  5. Step 5: Solve for x
    x = 361,235.45/522.75
  6. Step 6: Final answer
    x = 691.03

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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.