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Finding the Fourth Proportional to 1,190.78, 1,785.41 and 497.93

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Solution

The fourth proportional to 1,190.78, 1,785.41 and 497.93 is: 746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.78 : 1,785.41 = 497.93 : x
  2. Step 2: Convert to fraction form
    1,190.78/1,785.41 = 497.93/x
  3. Step 3: Cross multiply
    1,190.78x = 1,785.41 × 497.93
  4. Step 4: Simplify right side
    1,190.78x = 889,009.20
  5. Step 5: Solve for x
    x = 889,009.20/1,190.78
  6. Step 6: Final answer
    x = 746.58

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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.