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Finding the Fourth Proportional to 864.45, 1,193.13 and 569.76

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Solution

The fourth proportional to 864.45, 1,193.13 and 569.76 is: 786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.45 : 1,193.13 = 569.76 : x
  2. Step 2: Convert to fraction form
    864.45/1,193.13 = 569.76/x
  3. Step 3: Cross multiply
    864.45x = 1,193.13 × 569.76
  4. Step 4: Simplify right side
    864.45x = 679,797.75
  5. Step 5: Solve for x
    x = 679,797.75/864.45
  6. Step 6: Final answer
    x = 786.39

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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.