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Finding the Fourth Proportional to 780.37, 1,076.54 and 544.86

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Solution

The fourth proportional to 780.37, 1,076.54 and 544.86 is: 751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.37 : 1,076.54 = 544.86 : x
  2. Step 2: Convert to fraction form
    780.37/1,076.54 = 544.86/x
  3. Step 3: Cross multiply
    780.37x = 1,076.54 × 544.86
  4. Step 4: Simplify right side
    780.37x = 586,564.90
  5. Step 5: Solve for x
    x = 586,564.90/780.37
  6. Step 6: Final answer
    x = 751.65

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Why These Related Problems?

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