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Finding the Fourth Proportional to 903.17, 1,354.92 and 409.81

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Solution

The fourth proportional to 903.17, 1,354.92 and 409.81 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.17 : 1,354.92 = 409.81 : x
  2. Step 2: Convert to fraction form
    903.17/1,354.92 = 409.81/x
  3. Step 3: Cross multiply
    903.17x = 1,354.92 × 409.81
  4. Step 4: Simplify right side
    903.17x = 555,259.77
  5. Step 5: Solve for x
    x = 555,259.77/903.17
  6. Step 6: Final answer
    x = 614.79

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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.