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Finding the Fourth Proportional to 487.96, 727.01 and 464.74

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Solution

The fourth proportional to 487.96, 727.01 and 464.74 is: 692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 727.01 = 464.74 : x
  2. Step 2: Convert to fraction form
    487.96/727.01 = 464.74/x
  3. Step 3: Cross multiply
    487.96x = 727.01 × 464.74
  4. Step 4: Simplify right side
    487.96x = 337,868.23
  5. Step 5: Solve for x
    x = 337,868.23/487.96
  6. Step 6: Final answer
    x = 692.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.