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Finding the Fourth Proportional to 842.01, 1,260.69 and 430.26

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Solution

The fourth proportional to 842.01, 1,260.69 and 430.26 is: 644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.01 : 1,260.69 = 430.26 : x
  2. Step 2: Convert to fraction form
    842.01/1,260.69 = 430.26/x
  3. Step 3: Cross multiply
    842.01x = 1,260.69 × 430.26
  4. Step 4: Simplify right side
    842.01x = 542,422.87
  5. Step 5: Solve for x
    x = 542,422.87/842.01
  6. Step 6: Final answer
    x = 644.20

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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.