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Finding the Fourth Proportional to 520.14, 777.91 and 462.76

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Solution

The fourth proportional to 520.14, 777.91 and 462.76 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.14 : 777.91 = 462.76 : x
  2. Step 2: Convert to fraction form
    520.14/777.91 = 462.76/x
  3. Step 3: Cross multiply
    520.14x = 777.91 × 462.76
  4. Step 4: Simplify right side
    520.14x = 359,987.58
  5. Step 5: Solve for x
    x = 359,987.58/520.14
  6. Step 6: Final answer
    x = 692.10

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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.