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Finding the Fourth Proportional to 1,047.63, 1,571.90 and 398.55

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Solution

The fourth proportional to 1,047.63, 1,571.90 and 398.55 is: 598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.63 : 1,571.90 = 398.55 : x
  2. Step 2: Convert to fraction form
    1,047.63/1,571.90 = 398.55/x
  3. Step 3: Cross multiply
    1,047.63x = 1,571.90 × 398.55
  4. Step 4: Simplify right side
    1,047.63x = 626,480.75
  5. Step 5: Solve for x
    x = 626,480.75/1,047.63
  6. Step 6: Final answer
    x = 598.00

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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.