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Finding the Fourth Proportional to 1,026.41, 1,415.92 and 694.71

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Solution

The fourth proportional to 1,026.41, 1,415.92 and 694.71 is: 958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.41 : 1,415.92 = 694.71 : x
  2. Step 2: Convert to fraction form
    1,026.41/1,415.92 = 694.71/x
  3. Step 3: Cross multiply
    1,026.41x = 1,415.92 × 694.71
  4. Step 4: Simplify right side
    1,026.41x = 983,652.05
  5. Step 5: Solve for x
    x = 983,652.05/1,026.41
  6. Step 6: Final answer
    x = 958.35

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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.