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Finding the Fourth Proportional to 565.82, 849.54 and 420.02

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Solution

The fourth proportional to 565.82, 849.54 and 420.02 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.82 : 849.54 = 420.02 : x
  2. Step 2: Convert to fraction form
    565.82/849.54 = 420.02/x
  3. Step 3: Cross multiply
    565.82x = 849.54 × 420.02
  4. Step 4: Simplify right side
    565.82x = 356,827.49
  5. Step 5: Solve for x
    x = 356,827.49/565.82
  6. Step 6: Final answer
    x = 630.64

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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.