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Finding the Fourth Proportional to 1,047.14, 1,570.07 and 397.71

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Solution

The fourth proportional to 1,047.14, 1,570.07 and 397.71 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.14 : 1,570.07 = 397.71 : x
  2. Step 2: Convert to fraction form
    1,047.14/1,570.07 = 397.71/x
  3. Step 3: Cross multiply
    1,047.14x = 1,570.07 × 397.71
  4. Step 4: Simplify right side
    1,047.14x = 624,430.55
  5. Step 5: Solve for x
    x = 624,430.55/1,047.14
  6. Step 6: Final answer
    x = 596.32

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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.