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Finding the Fourth Proportional to 902.56, 1,245.53 and 509.58

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Solution

The fourth proportional to 902.56, 1,245.53 and 509.58 is: 703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.56 : 1,245.53 = 509.58 : x
  2. Step 2: Convert to fraction form
    902.56/1,245.53 = 509.58/x
  3. Step 3: Cross multiply
    902.56x = 1,245.53 × 509.58
  4. Step 4: Simplify right side
    902.56x = 634,698.45
  5. Step 5: Solve for x
    x = 634,698.45/902.56
  6. Step 6: Final answer
    x = 703.22

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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.