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Finding the Fourth Proportional to 487.36, 727.70 and 474.40

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Solution

The fourth proportional to 487.36, 727.70 and 474.40 is: 708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.36 : 727.70 = 474.40 : x
  2. Step 2: Convert to fraction form
    487.36/727.70 = 474.40/x
  3. Step 3: Cross multiply
    487.36x = 727.70 × 474.40
  4. Step 4: Simplify right side
    487.36x = 345,220.88
  5. Step 5: Solve for x
    x = 345,220.88/487.36
  6. Step 6: Final answer
    x = 708.35

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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.