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Finding the Fourth Proportional to 780.55, 1,076.78 and 465.62

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Solution

The fourth proportional to 780.55, 1,076.78 and 465.62 is: 642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.55 : 1,076.78 = 465.62 : x
  2. Step 2: Convert to fraction form
    780.55/1,076.78 = 465.62/x
  3. Step 3: Cross multiply
    780.55x = 1,076.78 × 465.62
  4. Step 4: Simplify right side
    780.55x = 501,374.16
  5. Step 5: Solve for x
    x = 501,374.16/780.55
  6. Step 6: Final answer
    x = 642.34

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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.