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Finding the Fourth Proportional to 522.08, 715.68 and 517.24

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Solution

The fourth proportional to 522.08, 715.68 and 517.24 is: 709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.08 : 715.68 = 517.24 : x
  2. Step 2: Convert to fraction form
    522.08/715.68 = 517.24/x
  3. Step 3: Cross multiply
    522.08x = 715.68 × 517.24
  4. Step 4: Simplify right side
    522.08x = 370,178.32
  5. Step 5: Solve for x
    x = 370,178.32/522.08
  6. Step 6: Final answer
    x = 709.05

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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.