Home / 1,386.19-2,077.49-563.50

Finding the Fourth Proportional to 1,386.19, 2,077.49 and 563.50

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Solution

The fourth proportional to 1,386.19, 2,077.49 and 563.50 is: 844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.19 : 2,077.49 = 563.50 : x
  2. Step 2: Convert to fraction form
    1,386.19/2,077.49 = 563.50/x
  3. Step 3: Cross multiply
    1,386.19x = 2,077.49 × 563.50
  4. Step 4: Simplify right side
    1,386.19x = 1,170,665.62
  5. Step 5: Solve for x
    x = 1,170,665.62/1,386.19
  6. Step 6: Final answer
    x = 844.52

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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.