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Finding the Fourth Proportional to 504.76, 752.15 and 475.96

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Solution

The fourth proportional to 504.76, 752.15 and 475.96 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.76 : 752.15 = 475.96 : x
  2. Step 2: Convert to fraction form
    504.76/752.15 = 475.96/x
  3. Step 3: Cross multiply
    504.76x = 752.15 × 475.96
  4. Step 4: Simplify right side
    504.76x = 357,993.31
  5. Step 5: Solve for x
    x = 357,993.31/504.76
  6. Step 6: Final answer
    x = 709.23

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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.