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Finding the Fourth Proportional to 654.93, 983.06 and 346.72

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Solution

The fourth proportional to 654.93, 983.06 and 346.72 is: 520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 983.06 = 346.72 : x
  2. Step 2: Convert to fraction form
    654.93/983.06 = 346.72/x
  3. Step 3: Cross multiply
    654.93x = 983.06 × 346.72
  4. Step 4: Simplify right side
    654.93x = 340,846.56
  5. Step 5: Solve for x
    x = 340,846.56/654.93
  6. Step 6: Final answer
    x = 520.43

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Double scale
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1.5x scale

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.