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Finding the Fourth Proportional to 1,313.41, 1,970.95 and 491.61

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Solution

The fourth proportional to 1,313.41, 1,970.95 and 491.61 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.41 : 1,970.95 = 491.61 : x
  2. Step 2: Convert to fraction form
    1,313.41/1,970.95 = 491.61/x
  3. Step 3: Cross multiply
    1,313.41x = 1,970.95 × 491.61
  4. Step 4: Simplify right side
    1,313.41x = 968,937.50
  5. Step 5: Solve for x
    x = 968,937.50/1,313.41
  6. Step 6: Final answer
    x = 737.73

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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.