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Finding the Fourth Proportional to 1,033.77, 1,426.62 and 591.72

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Solution

The fourth proportional to 1,033.77, 1,426.62 and 591.72 is: 816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.77 : 1,426.62 = 591.72 : x
  2. Step 2: Convert to fraction form
    1,033.77/1,426.62 = 591.72/x
  3. Step 3: Cross multiply
    1,033.77x = 1,426.62 × 591.72
  4. Step 4: Simplify right side
    1,033.77x = 844,159.59
  5. Step 5: Solve for x
    x = 844,159.59/1,033.77
  6. Step 6: Final answer
    x = 816.58

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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.