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Finding the Fourth Proportional to 659.31, 989.31 and 294.02

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Solution

The fourth proportional to 659.31, 989.31 and 294.02 is: 441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.31 : 989.31 = 294.02 : x
  2. Step 2: Convert to fraction form
    659.31/989.31 = 294.02/x
  3. Step 3: Cross multiply
    659.31x = 989.31 × 294.02
  4. Step 4: Simplify right side
    659.31x = 290,875.40
  5. Step 5: Solve for x
    x = 290,875.40/659.31
  6. Step 6: Final answer
    x = 441.18

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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.