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Finding the Fourth Proportional to 1,026.77, 1,538.84 and 894.46

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Solution

The fourth proportional to 1,026.77, 1,538.84 and 894.46 is: 1,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.77 : 1,538.84 = 894.46 : x
  2. Step 2: Convert to fraction form
    1,026.77/1,538.84 = 894.46/x
  3. Step 3: Cross multiply
    1,026.77x = 1,538.84 × 894.46
  4. Step 4: Simplify right side
    1,026.77x = 1,376,430.83
  5. Step 5: Solve for x
    x = 1,376,430.83/1,026.77
  6. Step 6: Final answer
    x = 1,340.54

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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.