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Finding the Fourth Proportional to 491.23, 737.03 and 462.25

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Solution

The fourth proportional to 491.23, 737.03 and 462.25 is: 693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.23 : 737.03 = 462.25 : x
  2. Step 2: Convert to fraction form
    491.23/737.03 = 462.25/x
  3. Step 3: Cross multiply
    491.23x = 737.03 × 462.25
  4. Step 4: Simplify right side
    491.23x = 340,692.12
  5. Step 5: Solve for x
    x = 340,692.12/491.23
  6. Step 6: Final answer
    x = 693.55

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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.