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Finding the Fourth Proportional to 654.57, 979.83 and 346.05

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Solution

The fourth proportional to 654.57, 979.83 and 346.05 is: 518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.57 : 979.83 = 346.05 : x
  2. Step 2: Convert to fraction form
    654.57/979.83 = 346.05/x
  3. Step 3: Cross multiply
    654.57x = 979.83 × 346.05
  4. Step 4: Simplify right side
    654.57x = 339,070.17
  5. Step 5: Solve for x
    x = 339,070.17/654.57
  6. Step 6: Final answer
    x = 518.00

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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.