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Finding the Fourth Proportional to 987.02, 1,362.21 and 637.46

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Solution

The fourth proportional to 987.02, 1,362.21 and 637.46 is: 879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.02 : 1,362.21 = 637.46 : x
  2. Step 2: Convert to fraction form
    987.02/1,362.21 = 637.46/x
  3. Step 3: Cross multiply
    987.02x = 1,362.21 × 637.46
  4. Step 4: Simplify right side
    987.02x = 868,354.39
  5. Step 5: Solve for x
    x = 868,354.39/987.02
  6. Step 6: Final answer
    x = 879.77

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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.