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Finding the Fourth Proportional to 420.77, 578.73 and 337.70

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Solution

The fourth proportional to 420.77, 578.73 and 337.70 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.77 : 578.73 = 337.70 : x
  2. Step 2: Convert to fraction form
    420.77/578.73 = 337.70/x
  3. Step 3: Cross multiply
    420.77x = 578.73 × 337.70
  4. Step 4: Simplify right side
    420.77x = 195,434.23
  5. Step 5: Solve for x
    x = 195,434.23/420.77
  6. Step 6: Final answer
    x = 464.47

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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.