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Finding the Fourth Proportional to 780.43, 1,076.52 and 465.50

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Solution

The fourth proportional to 780.43, 1,076.52 and 465.50 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.43 : 1,076.52 = 465.50 : x
  2. Step 2: Convert to fraction form
    780.43/1,076.52 = 465.50/x
  3. Step 3: Cross multiply
    780.43x = 1,076.52 × 465.50
  4. Step 4: Simplify right side
    780.43x = 501,115.04
  5. Step 5: Solve for x
    x = 501,115.04/780.43
  6. Step 6: Final answer
    x = 642.10

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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.