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Finding the Fourth Proportional to 614.31, 921.60 and 289.50

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Solution

The fourth proportional to 614.31, 921.60 and 289.50 is: 434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.31 : 921.60 = 289.50 : x
  2. Step 2: Convert to fraction form
    614.31/921.60 = 289.50/x
  3. Step 3: Cross multiply
    614.31x = 921.60 × 289.50
  4. Step 4: Simplify right side
    614.31x = 266,803.20
  5. Step 5: Solve for x
    x = 266,803.20/614.31
  6. Step 6: Final answer
    x = 434.31

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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.