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Finding the Fourth Proportional to 1,313.69, 1,970.49 and 491.72

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Solution

The fourth proportional to 1,313.69, 1,970.49 and 491.72 is: 737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.69 : 1,970.49 = 491.72 : x
  2. Step 2: Convert to fraction form
    1,313.69/1,970.49 = 491.72/x
  3. Step 3: Cross multiply
    1,313.69x = 1,970.49 × 491.72
  4. Step 4: Simplify right side
    1,313.69x = 968,929.34
  5. Step 5: Solve for x
    x = 968,929.34/1,313.69
  6. Step 6: Final answer
    x = 737.56

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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.