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Finding the Fourth Proportional to 571.15, 788.02 and 384.85

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Solution

The fourth proportional to 571.15, 788.02 and 384.85 is: 530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.15 : 788.02 = 384.85 : x
  2. Step 2: Convert to fraction form
    571.15/788.02 = 384.85/x
  3. Step 3: Cross multiply
    571.15x = 788.02 × 384.85
  4. Step 4: Simplify right side
    571.15x = 303,266.56
  5. Step 5: Solve for x
    x = 303,266.56/571.15
  6. Step 6: Final answer
    x = 530.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.