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Finding the Fourth Proportional to 948.32, 1,422.24 and 299.05

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Solution

The fourth proportional to 948.32, 1,422.24 and 299.05 is: 448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.32 : 1,422.24 = 299.05 : x
  2. Step 2: Convert to fraction form
    948.32/1,422.24 = 299.05/x
  3. Step 3: Cross multiply
    948.32x = 1,422.24 × 299.05
  4. Step 4: Simplify right side
    948.32x = 425,320.87
  5. Step 5: Solve for x
    x = 425,320.87/948.32
  6. Step 6: Final answer
    x = 448.50

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Half scale
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Double scale
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1.5x scale

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.