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Finding the Fourth Proportional to 522.87, 780.45 and 479.58

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Solution

The fourth proportional to 522.87, 780.45 and 479.58 is: 715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.87 : 780.45 = 479.58 : x
  2. Step 2: Convert to fraction form
    522.87/780.45 = 479.58/x
  3. Step 3: Cross multiply
    522.87x = 780.45 × 479.58
  4. Step 4: Simplify right side
    522.87x = 374,288.21
  5. Step 5: Solve for x
    x = 374,288.21/522.87
  6. Step 6: Final answer
    x = 715.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.