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Finding the Fourth Proportional to 831.24, 1,153.01 and 810.73

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Solution

The fourth proportional to 831.24, 1,153.01 and 810.73 is: 1,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.24 : 1,153.01 = 810.73 : x
  2. Step 2: Convert to fraction form
    831.24/1,153.01 = 810.73/x
  3. Step 3: Cross multiply
    831.24x = 1,153.01 × 810.73
  4. Step 4: Simplify right side
    831.24x = 934,784.23
  5. Step 5: Solve for x
    x = 934,784.23/831.24
  6. Step 6: Final answer
    x = 1,124.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.