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Finding the Fourth Proportional to 673.14, 928.96 and 378.40

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Solution

The fourth proportional to 673.14, 928.96 and 378.40 is: 522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 928.96 = 378.40 : x
  2. Step 2: Convert to fraction form
    673.14/928.96 = 378.40/x
  3. Step 3: Cross multiply
    673.14x = 928.96 × 378.40
  4. Step 4: Simplify right side
    673.14x = 351,518.46
  5. Step 5: Solve for x
    x = 351,518.46/673.14
  6. Step 6: Final answer
    x = 522.21

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1.5x scale

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.