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Finding the Fourth Proportional to 420.87, 583.25 and 414.99

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Solution

The fourth proportional to 420.87, 583.25 and 414.99 is: 575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.87 : 583.25 = 414.99 : x
  2. Step 2: Convert to fraction form
    420.87/583.25 = 414.99/x
  3. Step 3: Cross multiply
    420.87x = 583.25 × 414.99
  4. Step 4: Simplify right side
    420.87x = 242,040.84
  5. Step 5: Solve for x
    x = 242,040.84/420.87
  6. Step 6: Final answer
    x = 575.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.