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Finding the Fourth Proportional to 1,025.90, 1,415.73 and 583.88

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Solution

The fourth proportional to 1,025.90, 1,415.73 and 583.88 is: 805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.90 : 1,415.73 = 583.88 : x
  2. Step 2: Convert to fraction form
    1,025.90/1,415.73 = 583.88/x
  3. Step 3: Cross multiply
    1,025.90x = 1,415.73 × 583.88
  4. Step 4: Simplify right side
    1,025.90x = 826,608.26
  5. Step 5: Solve for x
    x = 826,608.26/1,025.90
  6. Step 6: Final answer
    x = 805.74

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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.