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Finding the Fourth Proportional to 569.52, 854.24 and 442.08

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Solution

The fourth proportional to 569.52, 854.24 and 442.08 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 854.24 = 442.08 : x
  2. Step 2: Convert to fraction form
    569.52/854.24 = 442.08/x
  3. Step 3: Cross multiply
    569.52x = 854.24 × 442.08
  4. Step 4: Simplify right side
    569.52x = 377,642.42
  5. Step 5: Solve for x
    x = 377,642.42/569.52
  6. Step 6: Final answer
    x = 663.09

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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.