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Finding the Fourth Proportional to 1,047.84, 1,571.31 and 398.40

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Solution

The fourth proportional to 1,047.84, 1,571.31 and 398.40 is: 597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.84 : 1,571.31 = 398.40 : x
  2. Step 2: Convert to fraction form
    1,047.84/1,571.31 = 398.40/x
  3. Step 3: Cross multiply
    1,047.84x = 1,571.31 × 398.40
  4. Step 4: Simplify right side
    1,047.84x = 626,009.90
  5. Step 5: Solve for x
    x = 626,009.90/1,047.84
  6. Step 6: Final answer
    x = 597.43

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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.