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Finding the Fourth Proportional to 531.68, 794.25 and 384.17

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Solution

The fourth proportional to 531.68, 794.25 and 384.17 is: 573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.68 : 794.25 = 384.17 : x
  2. Step 2: Convert to fraction form
    531.68/794.25 = 384.17/x
  3. Step 3: Cross multiply
    531.68x = 794.25 × 384.17
  4. Step 4: Simplify right side
    531.68x = 305,127.02
  5. Step 5: Solve for x
    x = 305,127.02/531.68
  6. Step 6: Final answer
    x = 573.89

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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.