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Finding the Fourth Proportional to 945.88, 1,305.48 and 596.68

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Solution

The fourth proportional to 945.88, 1,305.48 and 596.68 is: 823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.88 : 1,305.48 = 596.68 : x
  2. Step 2: Convert to fraction form
    945.88/1,305.48 = 596.68/x
  3. Step 3: Cross multiply
    945.88x = 1,305.48 × 596.68
  4. Step 4: Simplify right side
    945.88x = 778,953.81
  5. Step 5: Solve for x
    x = 778,953.81/945.88
  6. Step 6: Final answer
    x = 823.52

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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.