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Finding the Fourth Proportional to 450.87, 671.52 and 430.88

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Solution

The fourth proportional to 450.87, 671.52 and 430.88 is: 641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.87 : 671.52 = 430.88 : x
  2. Step 2: Convert to fraction form
    450.87/671.52 = 430.88/x
  3. Step 3: Cross multiply
    450.87x = 671.52 × 430.88
  4. Step 4: Simplify right side
    450.87x = 289,341.18
  5. Step 5: Solve for x
    x = 289,341.18/450.87
  6. Step 6: Final answer
    x = 641.74

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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.