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Finding the Fourth Proportional to 522.12, 715.85 and 513.64

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Solution

The fourth proportional to 522.12, 715.85 and 513.64 is: 704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 715.85 = 513.64 : x
  2. Step 2: Convert to fraction form
    522.12/715.85 = 513.64/x
  3. Step 3: Cross multiply
    522.12x = 715.85 × 513.64
  4. Step 4: Simplify right side
    522.12x = 367,689.19
  5. Step 5: Solve for x
    x = 367,689.19/522.12
  6. Step 6: Final answer
    x = 704.22

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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.