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Finding the Fourth Proportional to 1,601.40, 2,402.06 and 431.40

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Solution

The fourth proportional to 1,601.40, 2,402.06 and 431.40 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.40 : 2,402.06 = 431.40 : x
  2. Step 2: Convert to fraction form
    1,601.40/2,402.06 = 431.40/x
  3. Step 3: Cross multiply
    1,601.40x = 2,402.06 × 431.40
  4. Step 4: Simplify right side
    1,601.40x = 1,036,248.68
  5. Step 5: Solve for x
    x = 1,036,248.68/1,601.40
  6. Step 6: Final answer
    x = 647.09

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Similar ratio
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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.