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Finding the Fourth Proportional to 731.81, 1,009.90 and 417.07

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Solution

The fourth proportional to 731.81, 1,009.90 and 417.07 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.81 : 1,009.90 = 417.07 : x
  2. Step 2: Convert to fraction form
    731.81/1,009.90 = 417.07/x
  3. Step 3: Cross multiply
    731.81x = 1,009.90 × 417.07
  4. Step 4: Simplify right side
    731.81x = 421,198.99
  5. Step 5: Solve for x
    x = 421,198.99/731.81
  6. Step 6: Final answer
    x = 575.56

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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.