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Finding the Fourth Proportional to 902.14, 1,244.54 and 621.93

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Solution

The fourth proportional to 902.14, 1,244.54 and 621.93 is: 857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,244.54 = 621.93 : x
  2. Step 2: Convert to fraction form
    902.14/1,244.54 = 621.93/x
  3. Step 3: Cross multiply
    902.14x = 1,244.54 × 621.93
  4. Step 4: Simplify right side
    902.14x = 774,014.23
  5. Step 5: Solve for x
    x = 774,014.23/902.14
  6. Step 6: Final answer
    x = 857.98

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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.