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Finding the Fourth Proportional to 945.83, 1,305.04 and 572.81

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Solution

The fourth proportional to 945.83, 1,305.04 and 572.81 is: 790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.83 : 1,305.04 = 572.81 : x
  2. Step 2: Convert to fraction form
    945.83/1,305.04 = 572.81/x
  3. Step 3: Cross multiply
    945.83x = 1,305.04 × 572.81
  4. Step 4: Simplify right side
    945.83x = 747,535.53
  5. Step 5: Solve for x
    x = 747,535.53/945.83
  6. Step 6: Final answer
    x = 790.35

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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.