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Finding the Fourth Proportional to 673.01, 1,011.34 and 380.95

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Solution

The fourth proportional to 673.01, 1,011.34 and 380.95 is: 572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.01 : 1,011.34 = 380.95 : x
  2. Step 2: Convert to fraction form
    673.01/1,011.34 = 380.95/x
  3. Step 3: Cross multiply
    673.01x = 1,011.34 × 380.95
  4. Step 4: Simplify right side
    673.01x = 385,271.47
  5. Step 5: Solve for x
    x = 385,271.47/673.01
  6. Step 6: Final answer
    x = 572.46

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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.