Home / 1,316.37-1,974.67-342.47

Finding the Fourth Proportional to 1,316.37, 1,974.67 and 342.47

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Solution

The fourth proportional to 1,316.37, 1,974.67 and 342.47 is: 513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.37 : 1,974.67 = 342.47 : x
  2. Step 2: Convert to fraction form
    1,316.37/1,974.67 = 342.47/x
  3. Step 3: Cross multiply
    1,316.37x = 1,974.67 × 342.47
  4. Step 4: Simplify right side
    1,316.37x = 676,269.32
  5. Step 5: Solve for x
    x = 676,269.32/1,316.37
  6. Step 6: Final answer
    x = 513.74

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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.