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Finding the Fourth Proportional to 899.92, 1,242.78 and 715.36

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Solution

The fourth proportional to 899.92, 1,242.78 and 715.36 is: 987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.92 : 1,242.78 = 715.36 : x
  2. Step 2: Convert to fraction form
    899.92/1,242.78 = 715.36/x
  3. Step 3: Cross multiply
    899.92x = 1,242.78 × 715.36
  4. Step 4: Simplify right side
    899.92x = 889,035.10
  5. Step 5: Solve for x
    x = 889,035.10/899.92
  6. Step 6: Final answer
    x = 987.90

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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.