Home / 1,030.36-1,541.76-768.64

Finding the Fourth Proportional to 1,030.36, 1,541.76 and 768.64

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Solution

The fourth proportional to 1,030.36, 1,541.76 and 768.64 is: 1,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.36 : 1,541.76 = 768.64 : x
  2. Step 2: Convert to fraction form
    1,030.36/1,541.76 = 768.64/x
  3. Step 3: Cross multiply
    1,030.36x = 1,541.76 × 768.64
  4. Step 4: Simplify right side
    1,030.36x = 1,185,058.41
  5. Step 5: Solve for x
    x = 1,185,058.41/1,030.36
  6. Step 6: Final answer
    x = 1,150.14

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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.