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Finding the Fourth Proportional to 659.64, 994.47 and 624.36

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Solution

The fourth proportional to 659.64, 994.47 and 624.36 is: 941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.64 : 994.47 = 624.36 : x
  2. Step 2: Convert to fraction form
    659.64/994.47 = 624.36/x
  3. Step 3: Cross multiply
    659.64x = 994.47 × 624.36
  4. Step 4: Simplify right side
    659.64x = 620,907.29
  5. Step 5: Solve for x
    x = 620,907.29/659.64
  6. Step 6: Final answer
    x = 941.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.