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Finding the Fourth Proportional to 1,039.55, 1,434.47 and 573.77

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Solution

The fourth proportional to 1,039.55, 1,434.47 and 573.77 is: 791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.55 : 1,434.47 = 573.77 : x
  2. Step 2: Convert to fraction form
    1,039.55/1,434.47 = 573.77/x
  3. Step 3: Cross multiply
    1,039.55x = 1,434.47 × 573.77
  4. Step 4: Simplify right side
    1,039.55x = 823,050.11
  5. Step 5: Solve for x
    x = 823,050.11/1,039.55
  6. Step 6: Final answer
    x = 791.74

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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.