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Finding the Fourth Proportional to 1,026.86, 1,417.02 and 633.92

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Solution

The fourth proportional to 1,026.86, 1,417.02 and 633.92 is: 874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.86 : 1,417.02 = 633.92 : x
  2. Step 2: Convert to fraction form
    1,026.86/1,417.02 = 633.92/x
  3. Step 3: Cross multiply
    1,026.86x = 1,417.02 × 633.92
  4. Step 4: Simplify right side
    1,026.86x = 898,277.32
  5. Step 5: Solve for x
    x = 898,277.32/1,026.86
  6. Step 6: Final answer
    x = 874.78

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