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Finding the Fourth Proportional to 659.93, 990.16 and 294.47

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Solution

The fourth proportional to 659.93, 990.16 and 294.47 is: 441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.93 : 990.16 = 294.47 : x
  2. Step 2: Convert to fraction form
    659.93/990.16 = 294.47/x
  3. Step 3: Cross multiply
    659.93x = 990.16 × 294.47
  4. Step 4: Simplify right side
    659.93x = 291,572.42
  5. Step 5: Solve for x
    x = 291,572.42/659.93
  6. Step 6: Final answer
    x = 441.82

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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.