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Finding the Fourth Proportional to 948.99, 1,414.44 and 930.77

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Solution

The fourth proportional to 948.99, 1,414.44 and 930.77 is: 1,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.99 : 1,414.44 = 930.77 : x
  2. Step 2: Convert to fraction form
    948.99/1,414.44 = 930.77/x
  3. Step 3: Cross multiply
    948.99x = 1,414.44 × 930.77
  4. Step 4: Simplify right side
    948.99x = 1,316,511.25
  5. Step 5: Solve for x
    x = 1,316,511.25/948.99
  6. Step 6: Final answer
    x = 1,387.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.