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Finding the Fourth Proportional to 971.00, 1,340.48 and 657.92

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Solution

The fourth proportional to 971.00, 1,340.48 and 657.92 is: 908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.00 : 1,340.48 = 657.92 : x
  2. Step 2: Convert to fraction form
    971.00/1,340.48 = 657.92/x
  3. Step 3: Cross multiply
    971.00x = 1,340.48 × 657.92
  4. Step 4: Simplify right side
    971.00x = 881,933.60
  5. Step 5: Solve for x
    x = 881,933.60/971.00
  6. Step 6: Final answer
    x = 908.27

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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.