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Finding the Fourth Proportional to 786.63, 1,090.53 and 745.02

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Solution

The fourth proportional to 786.63, 1,090.53 and 745.02 is: 1,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.63 : 1,090.53 = 745.02 : x
  2. Step 2: Convert to fraction form
    786.63/1,090.53 = 745.02/x
  3. Step 3: Cross multiply
    786.63x = 1,090.53 × 745.02
  4. Step 4: Simplify right side
    786.63x = 812,466.66
  5. Step 5: Solve for x
    x = 812,466.66/786.63
  6. Step 6: Final answer
    x = 1,032.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.