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Finding the Fourth Proportional to 522.10, 720.50 and 289.24

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Solution

The fourth proportional to 522.10, 720.50 and 289.24 is: 399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.10 : 720.50 = 289.24 : x
  2. Step 2: Convert to fraction form
    522.10/720.50 = 289.24/x
  3. Step 3: Cross multiply
    522.10x = 720.50 × 289.24
  4. Step 4: Simplify right side
    522.10x = 208,397.42
  5. Step 5: Solve for x
    x = 208,397.42/522.10
  6. Step 6: Final answer
    x = 399.15

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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.