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Finding the Fourth Proportional to 488.40, 727.14 and 488.40

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Solution

The fourth proportional to 488.40, 727.14 and 488.40 is: 727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 727.14 = 488.40 : x
  2. Step 2: Convert to fraction form
    488.40/727.14 = 488.40/x
  3. Step 3: Cross multiply
    488.40x = 727.14 × 488.40
  4. Step 4: Simplify right side
    488.40x = 355,135.18
  5. Step 5: Solve for x
    x = 355,135.18/488.40
  6. Step 6: Final answer
    x = 727.14

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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.