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Finding the Fourth Proportional to 488.71, 729.52 and 420.67

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Solution

The fourth proportional to 488.71, 729.52 and 420.67 is: 627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.71 : 729.52 = 420.67 : x
  2. Step 2: Convert to fraction form
    488.71/729.52 = 420.67/x
  3. Step 3: Cross multiply
    488.71x = 729.52 × 420.67
  4. Step 4: Simplify right side
    488.71x = 306,887.18
  5. Step 5: Solve for x
    x = 306,887.18/488.71
  6. Step 6: Final answer
    x = 627.95

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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.