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Finding the Fourth Proportional to 420.69, 581.00 and 374.88

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Solution

The fourth proportional to 420.69, 581.00 and 374.88 is: 517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.69 : 581.00 = 374.88 : x
  2. Step 2: Convert to fraction form
    420.69/581.00 = 374.88/x
  3. Step 3: Cross multiply
    420.69x = 581.00 × 374.88
  4. Step 4: Simplify right side
    420.69x = 217,803.41
  5. Step 5: Solve for x
    x = 217,803.41/420.69
  6. Step 6: Final answer
    x = 517.73

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Double scale
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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.