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Finding the Fourth Proportional to 504.11, 759.93 and 470.66

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Solution

The fourth proportional to 504.11, 759.93 and 470.66 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.11 : 759.93 = 470.66 : x
  2. Step 2: Convert to fraction form
    504.11/759.93 = 470.66/x
  3. Step 3: Cross multiply
    504.11x = 759.93 × 470.66
  4. Step 4: Simplify right side
    504.11x = 357,664.85
  5. Step 5: Solve for x
    x = 357,664.85/504.11
  6. Step 6: Final answer
    x = 709.50

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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.