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Finding the Fourth Proportional to 420.13, 628.61 and 377.50

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Solution

The fourth proportional to 420.13, 628.61 and 377.50 is: 564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.13 : 628.61 = 377.50 : x
  2. Step 2: Convert to fraction form
    420.13/628.61 = 377.50/x
  3. Step 3: Cross multiply
    420.13x = 628.61 × 377.50
  4. Step 4: Simplify right side
    420.13x = 237,297.76
  5. Step 5: Solve for x
    x = 237,297.76/420.13
  6. Step 6: Final answer
    x = 564.82

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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.