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Finding the Fourth Proportional to 938.02, 1,407.08 and 321.64

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Solution

The fourth proportional to 938.02, 1,407.08 and 321.64 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.02 : 1,407.08 = 321.64 : x
  2. Step 2: Convert to fraction form
    938.02/1,407.08 = 321.64/x
  3. Step 3: Cross multiply
    938.02x = 1,407.08 × 321.64
  4. Step 4: Simplify right side
    938.02x = 452,573.21
  5. Step 5: Solve for x
    x = 452,573.21/938.02
  6. Step 6: Final answer
    x = 482.48

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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.