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Finding the Fourth Proportional to 522.86, 721.55 and 289.98

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Solution

The fourth proportional to 522.86, 721.55 and 289.98 is: 400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 721.55 = 289.98 : x
  2. Step 2: Convert to fraction form
    522.86/721.55 = 289.98/x
  3. Step 3: Cross multiply
    522.86x = 721.55 × 289.98
  4. Step 4: Simplify right side
    522.86x = 209,235.79
  5. Step 5: Solve for x
    x = 209,235.79/522.86
  6. Step 6: Final answer
    x = 400.18

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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.