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Finding the Fourth Proportional to 946.80, 1,420.20 and 940.74

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Solution

The fourth proportional to 946.80, 1,420.20 and 940.74 is: 1,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.80 : 1,420.20 = 940.74 : x
  2. Step 2: Convert to fraction form
    946.80/1,420.20 = 940.74/x
  3. Step 3: Cross multiply
    946.80x = 1,420.20 × 940.74
  4. Step 4: Simplify right side
    946.80x = 1,336,038.95
  5. Step 5: Solve for x
    x = 1,336,038.95/946.80
  6. Step 6: Final answer
    x = 1,411.11

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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.