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Finding the Fourth Proportional to 491.40, 678.72 and 367.61

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Solution

The fourth proportional to 491.40, 678.72 and 367.61 is: 507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 678.72 = 367.61 : x
  2. Step 2: Convert to fraction form
    491.40/678.72 = 367.61/x
  3. Step 3: Cross multiply
    491.40x = 678.72 × 367.61
  4. Step 4: Simplify right side
    491.40x = 249,500.87
  5. Step 5: Solve for x
    x = 249,500.87/491.40
  6. Step 6: Final answer
    x = 507.74

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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.