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Finding the Fourth Proportional to 688.04, 948.87 and 451.89

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Solution

The fourth proportional to 688.04, 948.87 and 451.89 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.04 : 948.87 = 451.89 : x
  2. Step 2: Convert to fraction form
    688.04/948.87 = 451.89/x
  3. Step 3: Cross multiply
    688.04x = 948.87 × 451.89
  4. Step 4: Simplify right side
    688.04x = 428,788.09
  5. Step 5: Solve for x
    x = 428,788.09/688.04
  6. Step 6: Final answer
    x = 623.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.