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Finding the Fourth Proportional to 780.07, 1,076.49 and 425.98

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Solution

The fourth proportional to 780.07, 1,076.49 and 425.98 is: 587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.07 : 1,076.49 = 425.98 : x
  2. Step 2: Convert to fraction form
    780.07/1,076.49 = 425.98/x
  3. Step 3: Cross multiply
    780.07x = 1,076.49 × 425.98
  4. Step 4: Simplify right side
    780.07x = 458,563.21
  5. Step 5: Solve for x
    x = 458,563.21/780.07
  6. Step 6: Final answer
    x = 587.85

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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.