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Finding the Fourth Proportional to 1,313.59, 1,970.58 and 480.70

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Solution

The fourth proportional to 1,313.59, 1,970.58 and 480.70 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.59 : 1,970.58 = 480.70 : x
  2. Step 2: Convert to fraction form
    1,313.59/1,970.58 = 480.70/x
  3. Step 3: Cross multiply
    1,313.59x = 1,970.58 × 480.70
  4. Step 4: Simplify right side
    1,313.59x = 947,247.95
  5. Step 5: Solve for x
    x = 947,247.95/1,313.59
  6. Step 6: Final answer
    x = 721.11

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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.