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Finding the Fourth Proportional to 522.45, 715.03 and 516.98

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Solution

The fourth proportional to 522.45, 715.03 and 516.98 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.45 : 715.03 = 516.98 : x
  2. Step 2: Convert to fraction form
    522.45/715.03 = 516.98/x
  3. Step 3: Cross multiply
    522.45x = 715.03 × 516.98
  4. Step 4: Simplify right side
    522.45x = 369,656.70
  5. Step 5: Solve for x
    x = 369,656.70/522.45
  6. Step 6: Final answer
    x = 707.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.