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Finding the Fourth Proportional to 949.08, 1,423.71 and 486.66

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Solution

The fourth proportional to 949.08, 1,423.71 and 486.66 is: 730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.08 : 1,423.71 = 486.66 : x
  2. Step 2: Convert to fraction form
    949.08/1,423.71 = 486.66/x
  3. Step 3: Cross multiply
    949.08x = 1,423.71 × 486.66
  4. Step 4: Simplify right side
    949.08x = 692,862.71
  5. Step 5: Solve for x
    x = 692,862.71/949.08
  6. Step 6: Final answer
    x = 730.04

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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.