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Finding the Fourth Proportional to 504.85, 760.72 and 415.56

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Solution

The fourth proportional to 504.85, 760.72 and 415.56 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.85 : 760.72 = 415.56 : x
  2. Step 2: Convert to fraction form
    504.85/760.72 = 415.56/x
  3. Step 3: Cross multiply
    504.85x = 760.72 × 415.56
  4. Step 4: Simplify right side
    504.85x = 316,124.80
  5. Step 5: Solve for x
    x = 316,124.80/504.85
  6. Step 6: Final answer
    x = 626.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.