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Finding the Fourth Proportional to 673.63, 929.66 and 378.93

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Solution

The fourth proportional to 673.63, 929.66 and 378.93 is: 522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.63 : 929.66 = 378.93 : x
  2. Step 2: Convert to fraction form
    673.63/929.66 = 378.93/x
  3. Step 3: Cross multiply
    673.63x = 929.66 × 378.93
  4. Step 4: Simplify right side
    673.63x = 352,276.06
  5. Step 5: Solve for x
    x = 352,276.06/673.63
  6. Step 6: Final answer
    x = 522.95

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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.