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Finding the Fourth Proportional to 941.54, 1,411.70 and 811.53

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Solution

The fourth proportional to 941.54, 1,411.70 and 811.53 is: 1,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.54 : 1,411.70 = 811.53 : x
  2. Step 2: Convert to fraction form
    941.54/1,411.70 = 811.53/x
  3. Step 3: Cross multiply
    941.54x = 1,411.70 × 811.53
  4. Step 4: Simplify right side
    941.54x = 1,145,632.84
  5. Step 5: Solve for x
    x = 1,145,632.84/941.54
  6. Step 6: Final answer
    x = 1,216.77

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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.