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Finding the Fourth Proportional to 673.94, 929.87 and 394.06

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Solution

The fourth proportional to 673.94, 929.87 and 394.06 is: 543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.94 : 929.87 = 394.06 : x
  2. Step 2: Convert to fraction form
    673.94/929.87 = 394.06/x
  3. Step 3: Cross multiply
    673.94x = 929.87 × 394.06
  4. Step 4: Simplify right side
    673.94x = 366,417.95
  5. Step 5: Solve for x
    x = 366,417.95/673.94
  6. Step 6: Final answer
    x = 543.70

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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.