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Finding the Fourth Proportional to 954.01, 1,431.20 and 406.18

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Solution

The fourth proportional to 954.01, 1,431.20 and 406.18 is: 609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.01 : 1,431.20 = 406.18 : x
  2. Step 2: Convert to fraction form
    954.01/1,431.20 = 406.18/x
  3. Step 3: Cross multiply
    954.01x = 1,431.20 × 406.18
  4. Step 4: Simplify right side
    954.01x = 581,324.82
  5. Step 5: Solve for x
    x = 581,324.82/954.01
  6. Step 6: Final answer
    x = 609.35

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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.