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Finding the Fourth Proportional to 569.62, 855.65 and 416.53

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Solution

The fourth proportional to 569.62, 855.65 and 416.53 is: 625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.62 : 855.65 = 416.53 : x
  2. Step 2: Convert to fraction form
    569.62/855.65 = 416.53/x
  3. Step 3: Cross multiply
    569.62x = 855.65 × 416.53
  4. Step 4: Simplify right side
    569.62x = 356,403.89
  5. Step 5: Solve for x
    x = 356,403.89/569.62
  6. Step 6: Final answer
    x = 625.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.