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Finding the Fourth Proportional to 831.88, 1,136.36 and 826.48

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Solution

The fourth proportional to 831.88, 1,136.36 and 826.48 is: 1,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.88 : 1,136.36 = 826.48 : x
  2. Step 2: Convert to fraction form
    831.88/1,136.36 = 826.48/x
  3. Step 3: Cross multiply
    831.88x = 1,136.36 × 826.48
  4. Step 4: Simplify right side
    831.88x = 939,178.81
  5. Step 5: Solve for x
    x = 939,178.81/831.88
  6. Step 6: Final answer
    x = 1,128.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.