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Finding the Fourth Proportional to 719.40, 1,077.66 and 462.36

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Solution

The fourth proportional to 719.40, 1,077.66 and 462.36 is: 692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.40 : 1,077.66 = 462.36 : x
  2. Step 2: Convert to fraction form
    719.40/1,077.66 = 462.36/x
  3. Step 3: Cross multiply
    719.40x = 1,077.66 × 462.36
  4. Step 4: Simplify right side
    719.40x = 498,266.88
  5. Step 5: Solve for x
    x = 498,266.88/719.40
  6. Step 6: Final answer
    x = 692.61

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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.