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Finding the Fourth Proportional to 945.04, 1,418 and 511.68

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Solution

The fourth proportional to 945.04, 1,418 and 511.68 is: 767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.04 : 1,418 = 511.68 : x
  2. Step 2: Convert to fraction form
    945.04/1,418 = 511.68/x
  3. Step 3: Cross multiply
    945.04x = 1,418 × 511.68
  4. Step 4: Simplify right side
    945.04x = 725,562.24
  5. Step 5: Solve for x
    x = 725,562.24/945.04
  6. Step 6: Final answer
    x = 767.76

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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.