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Finding the Fourth Proportional to 1,011.74, 1,396.20 and 569.74

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Solution

The fourth proportional to 1,011.74, 1,396.20 and 569.74 is: 786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.74 : 1,396.20 = 569.74 : x
  2. Step 2: Convert to fraction form
    1,011.74/1,396.20 = 569.74/x
  3. Step 3: Cross multiply
    1,011.74x = 1,396.20 × 569.74
  4. Step 4: Simplify right side
    1,011.74x = 795,470.99
  5. Step 5: Solve for x
    x = 795,470.99/1,011.74
  6. Step 6: Final answer
    x = 786.24

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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.