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Finding the Fourth Proportional to 522.16, 780.81 and 514.87

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Solution

The fourth proportional to 522.16, 780.81 and 514.87 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.16 : 780.81 = 514.87 : x
  2. Step 2: Convert to fraction form
    522.16/780.81 = 514.87/x
  3. Step 3: Cross multiply
    522.16x = 780.81 × 514.87
  4. Step 4: Simplify right side
    522.16x = 402,015.64
  5. Step 5: Solve for x
    x = 402,015.64/522.16
  6. Step 6: Final answer
    x = 769.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.