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Finding the Fourth Proportional to 614.51, 921.50 and 325.88

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Solution

The fourth proportional to 614.51, 921.50 and 325.88 is: 488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.51 : 921.50 = 325.88 : x
  2. Step 2: Convert to fraction form
    614.51/921.50 = 325.88/x
  3. Step 3: Cross multiply
    614.51x = 921.50 × 325.88
  4. Step 4: Simplify right side
    614.51x = 300,296.79
  5. Step 5: Solve for x
    x = 300,296.79/614.51
  6. Step 6: Final answer
    x = 488.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.