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Finding the Fourth Proportional to 992.47, 1,486.68 and 644.75

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Solution

The fourth proportional to 992.47, 1,486.68 and 644.75 is: 965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.47 : 1,486.68 = 644.75 : x
  2. Step 2: Convert to fraction form
    992.47/1,486.68 = 644.75/x
  3. Step 3: Cross multiply
    992.47x = 1,486.68 × 644.75
  4. Step 4: Simplify right side
    992.47x = 958,529.50
  5. Step 5: Solve for x
    x = 958,529.50/992.47
  6. Step 6: Final answer
    x = 965.81

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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.