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Finding the Fourth Proportional to 940.19, 1,407.98 and 646.87

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Solution

The fourth proportional to 940.19, 1,407.98 and 646.87 is: 968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.19 : 1,407.98 = 646.87 : x
  2. Step 2: Convert to fraction form
    940.19/1,407.98 = 646.87/x
  3. Step 3: Cross multiply
    940.19x = 1,407.98 × 646.87
  4. Step 4: Simplify right side
    940.19x = 910,773.70
  5. Step 5: Solve for x
    x = 910,773.70/940.19
  6. Step 6: Final answer
    x = 968.71

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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.