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Finding the Fourth Proportional to 864, 1,193.28 and 570.56

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Solution

The fourth proportional to 864, 1,193.28 and 570.56 is: 788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,193.28 = 570.56 : x
  2. Step 2: Convert to fraction form
    864/1,193.28 = 570.56/x
  3. Step 3: Cross multiply
    864x = 1,193.28 × 570.56
  4. Step 4: Simplify right side
    864x = 680,837.84
  5. Step 5: Solve for x
    x = 680,837.84/864
  6. Step 6: Final answer
    x = 788.01

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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.