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Finding the Fourth Proportional to 948.42, 1,308.63 and 682.74

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Solution

The fourth proportional to 948.42, 1,308.63 and 682.74 is: 942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.42 : 1,308.63 = 682.74 : x
  2. Step 2: Convert to fraction form
    948.42/1,308.63 = 682.74/x
  3. Step 3: Cross multiply
    948.42x = 1,308.63 × 682.74
  4. Step 4: Simplify right side
    948.42x = 893,454.05
  5. Step 5: Solve for x
    x = 893,454.05/948.42
  6. Step 6: Final answer
    x = 942.04

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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.