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Finding the Fourth Proportional to 654.84, 982.61 and 434.93

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Solution

The fourth proportional to 654.84, 982.61 and 434.93 is: 652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.84 : 982.61 = 434.93 : x
  2. Step 2: Convert to fraction form
    654.84/982.61 = 434.93/x
  3. Step 3: Cross multiply
    654.84x = 982.61 × 434.93
  4. Step 4: Simplify right side
    654.84x = 427,359.48
  5. Step 5: Solve for x
    x = 427,359.48/654.84
  6. Step 6: Final answer
    x = 652.62

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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.