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Finding the Fourth Proportional to 866.18, 1,194.80 and 570.93

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Solution

The fourth proportional to 866.18, 1,194.80 and 570.93 is: 787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.18 : 1,194.80 = 570.93 : x
  2. Step 2: Convert to fraction form
    866.18/1,194.80 = 570.93/x
  3. Step 3: Cross multiply
    866.18x = 1,194.80 × 570.93
  4. Step 4: Simplify right side
    866.18x = 682,144.31
  5. Step 5: Solve for x
    x = 682,144.31/866.18
  6. Step 6: Final answer
    x = 787.54

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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.