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Finding the Fourth Proportional to 1,025.17, 1,415.07 and 583.39

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Solution

The fourth proportional to 1,025.17, 1,415.07 and 583.39 is: 805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.17 : 1,415.07 = 583.39 : x
  2. Step 2: Convert to fraction form
    1,025.17/1,415.07 = 583.39/x
  3. Step 3: Cross multiply
    1,025.17x = 1,415.07 × 583.39
  4. Step 4: Simplify right side
    1,025.17x = 825,537.69
  5. Step 5: Solve for x
    x = 825,537.69/1,025.17
  6. Step 6: Final answer
    x = 805.27

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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.