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Finding the Fourth Proportional to 487.71, 728.03 and 419.67

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Solution

The fourth proportional to 487.71, 728.03 and 419.67 is: 626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.71 : 728.03 = 419.67 : x
  2. Step 2: Convert to fraction form
    487.71/728.03 = 419.67/x
  3. Step 3: Cross multiply
    487.71x = 728.03 × 419.67
  4. Step 4: Simplify right side
    487.71x = 305,530.25
  5. Step 5: Solve for x
    x = 305,530.25/487.71
  6. Step 6: Final answer
    x = 626.46

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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.