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Finding the Fourth Proportional to 771.70, 1,159.14 and 464.14

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Solution

The fourth proportional to 771.70, 1,159.14 and 464.14 is: 697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.70 : 1,159.14 = 464.14 : x
  2. Step 2: Convert to fraction form
    771.70/1,159.14 = 464.14/x
  3. Step 3: Cross multiply
    771.70x = 1,159.14 × 464.14
  4. Step 4: Simplify right side
    771.70x = 538,003.24
  5. Step 5: Solve for x
    x = 538,003.24/771.70
  6. Step 6: Final answer
    x = 697.17

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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.