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Finding the Fourth Proportional to 954.64, 1,431.36 and 407.20

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Solution

The fourth proportional to 954.64, 1,431.36 and 407.20 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.64 : 1,431.36 = 407.20 : x
  2. Step 2: Convert to fraction form
    954.64/1,431.36 = 407.20/x
  3. Step 3: Cross multiply
    954.64x = 1,431.36 × 407.20
  4. Step 4: Simplify right side
    954.64x = 582,849.79
  5. Step 5: Solve for x
    x = 582,849.79/954.64
  6. Step 6: Final answer
    x = 610.54

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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.