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Finding the Fourth Proportional to 1,313.74, 1,970.34 and 491.98

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Solution

The fourth proportional to 1,313.74, 1,970.34 and 491.98 is: 737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.74 : 1,970.34 = 491.98 : x
  2. Step 2: Convert to fraction form
    1,313.74/1,970.34 = 491.98/x
  3. Step 3: Cross multiply
    1,313.74x = 1,970.34 × 491.98
  4. Step 4: Simplify right side
    1,313.74x = 969,367.87
  5. Step 5: Solve for x
    x = 969,367.87/1,313.74
  6. Step 6: Final answer
    x = 737.87

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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.