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Finding the Fourth Proportional to 488.40, 659.70 and 488.40

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Solution

The fourth proportional to 488.40, 659.70 and 488.40 is: 659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 659.70 = 488.40 : x
  2. Step 2: Convert to fraction form
    488.40/659.70 = 488.40/x
  3. Step 3: Cross multiply
    488.40x = 659.70 × 488.40
  4. Step 4: Simplify right side
    488.40x = 322,197.48
  5. Step 5: Solve for x
    x = 322,197.48/488.40
  6. Step 6: Final answer
    x = 659.70

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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.