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Finding the Fourth Proportional to 559.30, 771.93 and 412.69

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Solution

The fourth proportional to 559.30, 771.93 and 412.69 is: 569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.30 : 771.93 = 412.69 : x
  2. Step 2: Convert to fraction form
    559.30/771.93 = 412.69/x
  3. Step 3: Cross multiply
    559.30x = 771.93 × 412.69
  4. Step 4: Simplify right side
    559.30x = 318,567.79
  5. Step 5: Solve for x
    x = 318,567.79/559.30
  6. Step 6: Final answer
    x = 569.58

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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.