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Finding the Fourth Proportional to 571.08, 787.14 and 384.48

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Solution

The fourth proportional to 571.08, 787.14 and 384.48 is: 529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 787.14 = 384.48 : x
  2. Step 2: Convert to fraction form
    571.08/787.14 = 384.48/x
  3. Step 3: Cross multiply
    571.08x = 787.14 × 384.48
  4. Step 4: Simplify right side
    571.08x = 302,639.59
  5. Step 5: Solve for x
    x = 302,639.59/571.08
  6. Step 6: Final answer
    x = 529.94

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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.