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Finding the Fourth Proportional to 1,440.07, 1,985.38 and 941.85

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Solution

The fourth proportional to 1,440.07, 1,985.38 and 941.85 is: 1,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.07 : 1,985.38 = 941.85 : x
  2. Step 2: Convert to fraction form
    1,440.07/1,985.38 = 941.85/x
  3. Step 3: Cross multiply
    1,440.07x = 1,985.38 × 941.85
  4. Step 4: Simplify right side
    1,440.07x = 1,869,930.15
  5. Step 5: Solve for x
    x = 1,869,930.15/1,440.07
  6. Step 6: Final answer
    x = 1,298.50

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Double scale
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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.