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Finding the Fourth Proportional to 514.78, 711.06 and 384.37

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Solution

The fourth proportional to 514.78, 711.06 and 384.37 is: 530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.78 : 711.06 = 384.37 : x
  2. Step 2: Convert to fraction form
    514.78/711.06 = 384.37/x
  3. Step 3: Cross multiply
    514.78x = 711.06 × 384.37
  4. Step 4: Simplify right side
    514.78x = 273,310.13
  5. Step 5: Solve for x
    x = 273,310.13/514.78
  6. Step 6: Final answer
    x = 530.93

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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.