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Finding the Fourth Proportional to 971.87, 1,340.35 and 657.05

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Solution

The fourth proportional to 971.87, 1,340.35 and 657.05 is: 906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.87 : 1,340.35 = 657.05 : x
  2. Step 2: Convert to fraction form
    971.87/1,340.35 = 657.05/x
  3. Step 3: Cross multiply
    971.87x = 1,340.35 × 657.05
  4. Step 4: Simplify right side
    971.87x = 880,668.62
  5. Step 5: Solve for x
    x = 880,668.62/971.87
  6. Step 6: Final answer
    x = 906.16

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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.