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Finding the Fourth Proportional to 1,384.31, 2,076.47 and 358.31

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Solution

The fourth proportional to 1,384.31, 2,076.47 and 358.31 is: 537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.31 : 2,076.47 = 358.31 : x
  2. Step 2: Convert to fraction form
    1,384.31/2,076.47 = 358.31/x
  3. Step 3: Cross multiply
    1,384.31x = 2,076.47 × 358.31
  4. Step 4: Simplify right side
    1,384.31x = 744,024.71
  5. Step 5: Solve for x
    x = 744,024.71/1,384.31
  6. Step 6: Final answer
    x = 537.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.