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Finding the Fourth Proportional to 1,047.34, 1,570.04 and 397.64

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Solution

The fourth proportional to 1,047.34, 1,570.04 and 397.64 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.34 : 1,570.04 = 397.64 : x
  2. Step 2: Convert to fraction form
    1,047.34/1,570.04 = 397.64/x
  3. Step 3: Cross multiply
    1,047.34x = 1,570.04 × 397.64
  4. Step 4: Simplify right side
    1,047.34x = 624,310.71
  5. Step 5: Solve for x
    x = 624,310.71/1,047.34
  6. Step 6: Final answer
    x = 596.09

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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.