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Finding the Fourth Proportional to 1,316.69, 1,973.62 and 699.78

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Solution

The fourth proportional to 1,316.69, 1,973.62 and 699.78 is: 1,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.69 : 1,973.62 = 699.78 : x
  2. Step 2: Convert to fraction form
    1,316.69/1,973.62 = 699.78/x
  3. Step 3: Cross multiply
    1,316.69x = 1,973.62 × 699.78
  4. Step 4: Simplify right side
    1,316.69x = 1,381,093.28
  5. Step 5: Solve for x
    x = 1,381,093.28/1,316.69
  6. Step 6: Final answer
    x = 1,048.91

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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.