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Finding the Fourth Proportional to 902.72, 1,245.71 and 509.81

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Solution

The fourth proportional to 902.72, 1,245.71 and 509.81 is: 703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.72 : 1,245.71 = 509.81 : x
  2. Step 2: Convert to fraction form
    902.72/1,245.71 = 509.81/x
  3. Step 3: Cross multiply
    902.72x = 1,245.71 × 509.81
  4. Step 4: Simplify right side
    902.72x = 635,070.46
  5. Step 5: Solve for x
    x = 635,070.46/902.72
  6. Step 6: Final answer
    x = 703.51

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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.