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Finding the Fourth Proportional to 418.57, 623.90 and 385.76

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Solution

The fourth proportional to 418.57, 623.90 and 385.76 is: 575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.57 : 623.90 = 385.76 : x
  2. Step 2: Convert to fraction form
    418.57/623.90 = 385.76/x
  3. Step 3: Cross multiply
    418.57x = 623.90 × 385.76
  4. Step 4: Simplify right side
    418.57x = 240,678.19
  5. Step 5: Solve for x
    x = 240,678.19/418.57
  6. Step 6: Final answer
    x = 575.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.