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Finding the Fourth Proportional to 488.06, 729.47 and 425.87

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Solution

The fourth proportional to 488.06, 729.47 and 425.87 is: 636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.06 : 729.47 = 425.87 : x
  2. Step 2: Convert to fraction form
    488.06/729.47 = 425.87/x
  3. Step 3: Cross multiply
    488.06x = 729.47 × 425.87
  4. Step 4: Simplify right side
    488.06x = 310,653.61
  5. Step 5: Solve for x
    x = 310,653.61/488.06
  6. Step 6: Final answer
    x = 636.51

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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.