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Finding the Fourth Proportional to 835.19, 1,250.66 and 697.90

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Solution

The fourth proportional to 835.19, 1,250.66 and 697.90 is: 1,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.19 : 1,250.66 = 697.90 : x
  2. Step 2: Convert to fraction form
    835.19/1,250.66 = 697.90/x
  3. Step 3: Cross multiply
    835.19x = 1,250.66 × 697.90
  4. Step 4: Simplify right side
    835.19x = 872,834.23
  5. Step 5: Solve for x
    x = 872,834.23/835.19
  6. Step 6: Final answer
    x = 1,045.07

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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.