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Finding the Fourth Proportional to 840.01, 1,257.09 and 709.64

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Solution

The fourth proportional to 840.01, 1,257.09 and 709.64 is: 1,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.01 : 1,257.09 = 709.64 : x
  2. Step 2: Convert to fraction form
    840.01/1,257.09 = 709.64/x
  3. Step 3: Cross multiply
    840.01x = 1,257.09 × 709.64
  4. Step 4: Simplify right side
    840.01x = 892,082.72
  5. Step 5: Solve for x
    x = 892,082.72/840.01
  6. Step 6: Final answer
    x = 1,061.99

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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.