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Finding the Fourth Proportional to 1,048.13, 1,578.31 and 776.14

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Solution

The fourth proportional to 1,048.13, 1,578.31 and 776.14 is: 1,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.13 : 1,578.31 = 776.14 : x
  2. Step 2: Convert to fraction form
    1,048.13/1,578.31 = 776.14/x
  3. Step 3: Cross multiply
    1,048.13x = 1,578.31 × 776.14
  4. Step 4: Simplify right side
    1,048.13x = 1,224,989.52
  5. Step 5: Solve for x
    x = 1,224,989.52/1,048.13
  6. Step 6: Final answer
    x = 1,168.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.