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Finding the Fourth Proportional to 507, 757.05 and 415.47

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Solution

The fourth proportional to 507, 757.05 and 415.47 is: 620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 757.05 = 415.47 : x
  2. Step 2: Convert to fraction form
    507/757.05 = 415.47/x
  3. Step 3: Cross multiply
    507x = 757.05 × 415.47
  4. Step 4: Simplify right side
    507x = 314,531.56
  5. Step 5: Solve for x
    x = 314,531.56/507
  6. Step 6: Final answer
    x = 620.38

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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.