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Finding the Fourth Proportional to 522.78, 780.88 and 520.35

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Solution

The fourth proportional to 522.78, 780.88 and 520.35 is: 777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.78 : 780.88 = 520.35 : x
  2. Step 2: Convert to fraction form
    522.78/780.88 = 520.35/x
  3. Step 3: Cross multiply
    522.78x = 780.88 × 520.35
  4. Step 4: Simplify right side
    522.78x = 406,330.91
  5. Step 5: Solve for x
    x = 406,330.91/522.78
  6. Step 6: Final answer
    x = 777.25

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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.