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Finding the Fourth Proportional to 569.96, 786.80 and 404.32

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Solution

The fourth proportional to 569.96, 786.80 and 404.32 is: 558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.96 : 786.80 = 404.32 : x
  2. Step 2: Convert to fraction form
    569.96/786.80 = 404.32/x
  3. Step 3: Cross multiply
    569.96x = 786.80 × 404.32
  4. Step 4: Simplify right side
    569.96x = 318,118.98
  5. Step 5: Solve for x
    x = 318,118.98/569.96
  6. Step 6: Final answer
    x = 558.14

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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.