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Finding the Fourth Proportional to 771.84, 1,064.80 and 440.22

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Solution

The fourth proportional to 771.84, 1,064.80 and 440.22 is: 607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.84 : 1,064.80 = 440.22 : x
  2. Step 2: Convert to fraction form
    771.84/1,064.80 = 440.22/x
  3. Step 3: Cross multiply
    771.84x = 1,064.80 × 440.22
  4. Step 4: Simplify right side
    771.84x = 468,746.26
  5. Step 5: Solve for x
    x = 468,746.26/771.84
  6. Step 6: Final answer
    x = 607.31

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