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Finding the Fourth Proportional to 902.39, 1,245.31 and 509.42

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Solution

The fourth proportional to 902.39, 1,245.31 and 509.42 is: 703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.39 : 1,245.31 = 509.42 : x
  2. Step 2: Convert to fraction form
    902.39/1,245.31 = 509.42/x
  3. Step 3: Cross multiply
    902.39x = 1,245.31 × 509.42
  4. Step 4: Simplify right side
    902.39x = 634,387.66
  5. Step 5: Solve for x
    x = 634,387.66/902.39
  6. Step 6: Final answer
    x = 703.01

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1.5x scale

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.