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Finding the Fourth Proportional to 1,011.74, 1,396.08 and 569.61

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Solution

The fourth proportional to 1,011.74, 1,396.08 and 569.61 is: 786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.74 : 1,396.08 = 569.61 : x
  2. Step 2: Convert to fraction form
    1,011.74/1,396.08 = 569.61/x
  3. Step 3: Cross multiply
    1,011.74x = 1,396.08 × 569.61
  4. Step 4: Simplify right side
    1,011.74x = 795,221.13
  5. Step 5: Solve for x
    x = 795,221.13/1,011.74
  6. Step 6: Final answer
    x = 786.00

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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.