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Finding the Fourth Proportional to 908.21, 1,253.03 and 509.81

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Solution

The fourth proportional to 908.21, 1,253.03 and 509.81 is: 703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.21 : 1,253.03 = 509.81 : x
  2. Step 2: Convert to fraction form
    908.21/1,253.03 = 509.81/x
  3. Step 3: Cross multiply
    908.21x = 1,253.03 × 509.81
  4. Step 4: Simplify right side
    908.21x = 638,807.81
  5. Step 5: Solve for x
    x = 638,807.81/908.21
  6. Step 6: Final answer
    x = 703.37

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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.