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Finding the Fourth Proportional to 659.91, 989.05 and 477.93

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Solution

The fourth proportional to 659.91, 989.05 and 477.93 is: 716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.91 : 989.05 = 477.93 : x
  2. Step 2: Convert to fraction form
    659.91/989.05 = 477.93/x
  3. Step 3: Cross multiply
    659.91x = 989.05 × 477.93
  4. Step 4: Simplify right side
    659.91x = 472,690.53
  5. Step 5: Solve for x
    x = 472,690.53/659.91
  6. Step 6: Final answer
    x = 716.30

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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.