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Finding the Fourth Proportional to 864.94, 1,193.61 and 570.37

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Solution

The fourth proportional to 864.94, 1,193.61 and 570.37 is: 787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.94 : 1,193.61 = 570.37 : x
  2. Step 2: Convert to fraction form
    864.94/1,193.61 = 570.37/x
  3. Step 3: Cross multiply
    864.94x = 1,193.61 × 570.37
  4. Step 4: Simplify right side
    864.94x = 680,799.34
  5. Step 5: Solve for x
    x = 680,799.34/864.94
  6. Step 6: Final answer
    x = 787.11

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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.