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Finding the Fourth Proportional to 569, 849.64 and 525.26

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Solution

The fourth proportional to 569, 849.64 and 525.26 is: 784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 849.64 = 525.26 : x
  2. Step 2: Convert to fraction form
    569/849.64 = 525.26/x
  3. Step 3: Cross multiply
    569x = 849.64 × 525.26
  4. Step 4: Simplify right side
    569x = 446,281.91
  5. Step 5: Solve for x
    x = 446,281.91/569
  6. Step 6: Final answer
    x = 784.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.