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Finding the Fourth Proportional to 701.04, 1,052.03 and 290.17

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Solution

The fourth proportional to 701.04, 1,052.03 and 290.17 is: 435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.04 : 1,052.03 = 290.17 : x
  2. Step 2: Convert to fraction form
    701.04/1,052.03 = 290.17/x
  3. Step 3: Cross multiply
    701.04x = 1,052.03 × 290.17
  4. Step 4: Simplify right side
    701.04x = 305,267.55
  5. Step 5: Solve for x
    x = 305,267.55/701.04
  6. Step 6: Final answer
    x = 435.45

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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.