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Finding the Fourth Proportional to 902.24, 1,245.17 and 509.34

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Solution

The fourth proportional to 902.24, 1,245.17 and 509.34 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.24 : 1,245.17 = 509.34 : x
  2. Step 2: Convert to fraction form
    902.24/1,245.17 = 509.34/x
  3. Step 3: Cross multiply
    902.24x = 1,245.17 × 509.34
  4. Step 4: Simplify right side
    902.24x = 634,212.34
  5. Step 5: Solve for x
    x = 634,212.34/902.24
  6. Step 6: Final answer
    x = 702.93

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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.