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Finding the Fourth Proportional to 1,062.66, 1,593.37 and 412.64

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Solution

The fourth proportional to 1,062.66, 1,593.37 and 412.64 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.66 : 1,593.37 = 412.64 : x
  2. Step 2: Convert to fraction form
    1,062.66/1,593.37 = 412.64/x
  3. Step 3: Cross multiply
    1,062.66x = 1,593.37 × 412.64
  4. Step 4: Simplify right side
    1,062.66x = 657,488.20
  5. Step 5: Solve for x
    x = 657,488.20/1,062.66
  6. Step 6: Final answer
    x = 618.72

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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.