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Finding the Fourth Proportional to 771.62, 1,066.01 and 623.99

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Solution

The fourth proportional to 771.62, 1,066.01 and 623.99 is: 862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.62 : 1,066.01 = 623.99 : x
  2. Step 2: Convert to fraction form
    771.62/1,066.01 = 623.99/x
  3. Step 3: Cross multiply
    771.62x = 1,066.01 × 623.99
  4. Step 4: Simplify right side
    771.62x = 665,179.12
  5. Step 5: Solve for x
    x = 665,179.12/771.62
  6. Step 6: Final answer
    x = 862.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.