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Finding the Fourth Proportional to 565.58, 849.65 and 401.42

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Solution

The fourth proportional to 565.58, 849.65 and 401.42 is: 603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 849.65 = 401.42 : x
  2. Step 2: Convert to fraction form
    565.58/849.65 = 401.42/x
  3. Step 3: Cross multiply
    565.58x = 849.65 × 401.42
  4. Step 4: Simplify right side
    565.58x = 341,066.62
  5. Step 5: Solve for x
    x = 341,066.62/565.58
  6. Step 6: Final answer
    x = 603.04

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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.