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Finding the Fourth Proportional to 488.40, 661.50 and 488.40

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Solution

The fourth proportional to 488.40, 661.50 and 488.40 is: 661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 661.50 = 488.40 : x
  2. Step 2: Convert to fraction form
    488.40/661.50 = 488.40/x
  3. Step 3: Cross multiply
    488.40x = 661.50 × 488.40
  4. Step 4: Simplify right side
    488.40x = 323,076.60
  5. Step 5: Solve for x
    x = 323,076.60/488.40
  6. Step 6: Final answer
    x = 661.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.