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Finding the Fourth Proportional to 654.93, 981.47 and 492.42

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Solution

The fourth proportional to 654.93, 981.47 and 492.42 is: 737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 981.47 = 492.42 : x
  2. Step 2: Convert to fraction form
    654.93/981.47 = 492.42/x
  3. Step 3: Cross multiply
    654.93x = 981.47 × 492.42
  4. Step 4: Simplify right side
    654.93x = 483,295.46
  5. Step 5: Solve for x
    x = 483,295.46/654.93
  6. Step 6: Final answer
    x = 737.93

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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.