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Finding the Fourth Proportional to 704.87, 972.60 and 439.35

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Solution

The fourth proportional to 704.87, 972.60 and 439.35 is: 606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.87 : 972.60 = 439.35 : x
  2. Step 2: Convert to fraction form
    704.87/972.60 = 439.35/x
  3. Step 3: Cross multiply
    704.87x = 972.60 × 439.35
  4. Step 4: Simplify right side
    704.87x = 427,311.81
  5. Step 5: Solve for x
    x = 427,311.81/704.87
  6. Step 6: Final answer
    x = 606.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.