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Finding the Fourth Proportional to 520.62, 780.01 and 464.12

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Solution

The fourth proportional to 520.62, 780.01 and 464.12 is: 695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.62 : 780.01 = 464.12 : x
  2. Step 2: Convert to fraction form
    520.62/780.01 = 464.12/x
  3. Step 3: Cross multiply
    520.62x = 780.01 × 464.12
  4. Step 4: Simplify right side
    520.62x = 362,012.02
  5. Step 5: Solve for x
    x = 362,012.02/520.62
  6. Step 6: Final answer
    x = 695.35

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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.