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Finding the Fourth Proportional to 488.55, 729.23 and 420.51

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Solution

The fourth proportional to 488.55, 729.23 and 420.51 is: 627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.55 : 729.23 = 420.51 : x
  2. Step 2: Convert to fraction form
    488.55/729.23 = 420.51/x
  3. Step 3: Cross multiply
    488.55x = 729.23 × 420.51
  4. Step 4: Simplify right side
    488.55x = 306,646.40
  5. Step 5: Solve for x
    x = 306,646.40/488.55
  6. Step 6: Final answer
    x = 627.67

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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.