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Finding the Fourth Proportional to 1,316.53, 1,974.78 and 342.60

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Solution

The fourth proportional to 1,316.53, 1,974.78 and 342.60 is: 513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.53 : 1,974.78 = 342.60 : x
  2. Step 2: Convert to fraction form
    1,316.53/1,974.78 = 342.60/x
  3. Step 3: Cross multiply
    1,316.53x = 1,974.78 × 342.60
  4. Step 4: Simplify right side
    1,316.53x = 676,559.63
  5. Step 5: Solve for x
    x = 676,559.63/1,316.53
  6. Step 6: Final answer
    x = 513.90

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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.