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Finding the Fourth Proportional to 945.81, 1,305.13 and 572.66

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Solution

The fourth proportional to 945.81, 1,305.13 and 572.66 is: 790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.81 : 1,305.13 = 572.66 : x
  2. Step 2: Convert to fraction form
    945.81/1,305.13 = 572.66/x
  3. Step 3: Cross multiply
    945.81x = 1,305.13 × 572.66
  4. Step 4: Simplify right side
    945.81x = 747,395.75
  5. Step 5: Solve for x
    x = 747,395.75/945.81
  6. Step 6: Final answer
    x = 790.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.