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Finding the Fourth Proportional to 1,384.57, 2,076.85 and 434.80

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Solution

The fourth proportional to 1,384.57, 2,076.85 and 434.80 is: 652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.57 : 2,076.85 = 434.80 : x
  2. Step 2: Convert to fraction form
    1,384.57/2,076.85 = 434.80/x
  3. Step 3: Cross multiply
    1,384.57x = 2,076.85 × 434.80
  4. Step 4: Simplify right side
    1,384.57x = 903,015.07
  5. Step 5: Solve for x
    x = 903,015.07/1,384.57
  6. Step 6: Final answer
    x = 652.20

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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.