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Finding the Fourth Proportional to 1,297.47, 1,943.17 and 907.86

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Solution

The fourth proportional to 1,297.47, 1,943.17 and 907.86 is: 1,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.47 : 1,943.17 = 907.86 : x
  2. Step 2: Convert to fraction form
    1,297.47/1,943.17 = 907.86/x
  3. Step 3: Cross multiply
    1,297.47x = 1,943.17 × 907.86
  4. Step 4: Simplify right side
    1,297.47x = 1,764,126.32
  5. Step 5: Solve for x
    x = 1,764,126.32/1,297.47
  6. Step 6: Final answer
    x = 1,359.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.