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Finding the Fourth Proportional to 511.59, 764.01 and 437.69

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Solution

The fourth proportional to 511.59, 764.01 and 437.69 is: 653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.59 : 764.01 = 437.69 : x
  2. Step 2: Convert to fraction form
    511.59/764.01 = 437.69/x
  3. Step 3: Cross multiply
    511.59x = 764.01 × 437.69
  4. Step 4: Simplify right side
    511.59x = 334,395.72
  5. Step 5: Solve for x
    x = 334,395.72/511.59
  6. Step 6: Final answer
    x = 653.64

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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.