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Finding the Fourth Proportional to 504, 757.77 and 471.87

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Solution

The fourth proportional to 504, 757.77 and 471.87 is: 709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 757.77 = 471.87 : x
  2. Step 2: Convert to fraction form
    504/757.77 = 471.87/x
  3. Step 3: Cross multiply
    504x = 757.77 × 471.87
  4. Step 4: Simplify right side
    504x = 357,568.93
  5. Step 5: Solve for x
    x = 357,568.93/504
  6. Step 6: Final answer
    x = 709.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.