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Finding the Fourth Proportional to 1,236.64, 1,707.60 and 1,030.72

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Solution

The fourth proportional to 1,236.64, 1,707.60 and 1,030.72 is: 1,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.64 : 1,707.60 = 1,030.72 : x
  2. Step 2: Convert to fraction form
    1,236.64/1,707.60 = 1,030.72/x
  3. Step 3: Cross multiply
    1,236.64x = 1,707.60 × 1,030.72
  4. Step 4: Simplify right side
    1,236.64x = 1,760,057.47
  5. Step 5: Solve for x
    x = 1,760,057.47/1,236.64
  6. Step 6: Final answer
    x = 1,423.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.