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Finding the Fourth Proportional to 731.74, 1,009.78 and 416.99

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Solution

The fourth proportional to 731.74, 1,009.78 and 416.99 is: 575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.74 : 1,009.78 = 416.99 : x
  2. Step 2: Convert to fraction form
    731.74/1,009.78 = 416.99/x
  3. Step 3: Cross multiply
    731.74x = 1,009.78 × 416.99
  4. Step 4: Simplify right side
    731.74x = 421,069.64
  5. Step 5: Solve for x
    x = 421,069.64/731.74
  6. Step 6: Final answer
    x = 575.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.