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Finding the Fourth Proportional to 504.51, 752.57 and 446.19

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Solution

The fourth proportional to 504.51, 752.57 and 446.19 is: 665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.51 : 752.57 = 446.19 : x
  2. Step 2: Convert to fraction form
    504.51/752.57 = 446.19/x
  3. Step 3: Cross multiply
    504.51x = 752.57 × 446.19
  4. Step 4: Simplify right side
    504.51x = 335,786.98
  5. Step 5: Solve for x
    x = 335,786.98/504.51
  6. Step 6: Final answer
    x = 665.57

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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.