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Finding the Fourth Proportional to 783.68, 1,174.98 and 495.32

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Solution

The fourth proportional to 783.68, 1,174.98 and 495.32 is: 742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.68 : 1,174.98 = 495.32 : x
  2. Step 2: Convert to fraction form
    783.68/1,174.98 = 495.32/x
  3. Step 3: Cross multiply
    783.68x = 1,174.98 × 495.32
  4. Step 4: Simplify right side
    783.68x = 581,991.09
  5. Step 5: Solve for x
    x = 581,991.09/783.68
  6. Step 6: Final answer
    x = 742.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.