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Finding the Fourth Proportional to 771.78, 1,064.90 and 440.14

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Solution

The fourth proportional to 771.78, 1,064.90 and 440.14 is: 607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.78 : 1,064.90 = 440.14 : x
  2. Step 2: Convert to fraction form
    771.78/1,064.90 = 440.14/x
  3. Step 3: Cross multiply
    771.78x = 1,064.90 × 440.14
  4. Step 4: Simplify right side
    771.78x = 468,705.09
  5. Step 5: Solve for x
    x = 468,705.09/771.78
  6. Step 6: Final answer
    x = 607.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.