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Finding the Fourth Proportional to 569.61, 785.52 and 527.69

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Solution

The fourth proportional to 569.61, 785.52 and 527.69 is: 727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.61 : 785.52 = 527.69 : x
  2. Step 2: Convert to fraction form
    569.61/785.52 = 527.69/x
  3. Step 3: Cross multiply
    569.61x = 785.52 × 527.69
  4. Step 4: Simplify right side
    569.61x = 414,511.05
  5. Step 5: Solve for x
    x = 414,511.05/569.61
  6. Step 6: Final answer
    x = 727.71

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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.