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Finding the Fourth Proportional to 948.76, 1,308.98 and 649.75

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Solution

The fourth proportional to 948.76, 1,308.98 and 649.75 is: 896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.76 : 1,308.98 = 649.75 : x
  2. Step 2: Convert to fraction form
    948.76/1,308.98 = 649.75/x
  3. Step 3: Cross multiply
    948.76x = 1,308.98 × 649.75
  4. Step 4: Simplify right side
    948.76x = 850,508.11
  5. Step 5: Solve for x
    x = 850,508.11/948.76
  6. Step 6: Final answer
    x = 896.44

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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.