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Finding the Fourth Proportional to 902.41, 1,245.28 and 509.47

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Solution

The fourth proportional to 902.41, 1,245.28 and 509.47 is: 703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.41 : 1,245.28 = 509.47 : x
  2. Step 2: Convert to fraction form
    902.41/1,245.28 = 509.47/x
  3. Step 3: Cross multiply
    902.41x = 1,245.28 × 509.47
  4. Step 4: Simplify right side
    902.41x = 634,428.41
  5. Step 5: Solve for x
    x = 634,428.41/902.41
  6. Step 6: Final answer
    x = 703.04

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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.