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Finding the Fourth Proportional to 785.25, 1,175.76 and 492.41

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Solution

The fourth proportional to 785.25, 1,175.76 and 492.41 is: 737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.25 : 1,175.76 = 492.41 : x
  2. Step 2: Convert to fraction form
    785.25/1,175.76 = 492.41/x
  3. Step 3: Cross multiply
    785.25x = 1,175.76 × 492.41
  4. Step 4: Simplify right side
    785.25x = 578,950.10
  5. Step 5: Solve for x
    x = 578,950.10/785.25
  6. Step 6: Final answer
    x = 737.28

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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.