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Finding the Fourth Proportional to 835.69, 1,153.77 and 537.05

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Solution

The fourth proportional to 835.69, 1,153.77 and 537.05 is: 741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.69 : 1,153.77 = 537.05 : x
  2. Step 2: Convert to fraction form
    835.69/1,153.77 = 537.05/x
  3. Step 3: Cross multiply
    835.69x = 1,153.77 × 537.05
  4. Step 4: Simplify right side
    835.69x = 619,633.72
  5. Step 5: Solve for x
    x = 619,633.72/835.69
  6. Step 6: Final answer
    x = 741.47

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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.