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Finding the Fourth Proportional to 537.14, 808.56 and 384.14

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Solution

The fourth proportional to 537.14, 808.56 and 384.14 is: 578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 808.56 = 384.14 : x
  2. Step 2: Convert to fraction form
    537.14/808.56 = 384.14/x
  3. Step 3: Cross multiply
    537.14x = 808.56 × 384.14
  4. Step 4: Simplify right side
    537.14x = 310,600.24
  5. Step 5: Solve for x
    x = 310,600.24/537.14
  6. Step 6: Final answer
    x = 578.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.