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Finding the Fourth Proportional to 507.41, 757.83 and 415.07

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Solution

The fourth proportional to 507.41, 757.83 and 415.07 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.41 : 757.83 = 415.07 : x
  2. Step 2: Convert to fraction form
    507.41/757.83 = 415.07/x
  3. Step 3: Cross multiply
    507.41x = 757.83 × 415.07
  4. Step 4: Simplify right side
    507.41x = 314,548.71
  5. Step 5: Solve for x
    x = 314,548.71/507.41
  6. Step 6: Final answer
    x = 619.92

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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.