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Finding the Fourth Proportional to 1,313.70, 1,970.18 and 491.92

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Solution

The fourth proportional to 1,313.70, 1,970.18 and 491.92 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.70 : 1,970.18 = 491.92 : x
  2. Step 2: Convert to fraction form
    1,313.70/1,970.18 = 491.92/x
  3. Step 3: Cross multiply
    1,313.70x = 1,970.18 × 491.92
  4. Step 4: Simplify right side
    1,313.70x = 969,170.95
  5. Step 5: Solve for x
    x = 969,170.95/1,313.70
  6. Step 6: Final answer
    x = 737.74

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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.