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Finding the Fourth Proportional to 835.10, 1,151.68 and 536.00

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Solution

The fourth proportional to 835.10, 1,151.68 and 536.00 is: 739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.10 : 1,151.68 = 536.00 : x
  2. Step 2: Convert to fraction form
    835.10/1,151.68 = 536.00/x
  3. Step 3: Cross multiply
    835.10x = 1,151.68 × 536.00
  4. Step 4: Simplify right side
    835.10x = 617,293.38
  5. Step 5: Solve for x
    x = 617,293.38/835.10
  6. Step 6: Final answer
    x = 739.19

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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.