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Finding the Fourth Proportional to 780.41, 1,164.93 and 722.55

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Solution

The fourth proportional to 780.41, 1,164.93 and 722.55 is: 1,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.41 : 1,164.93 = 722.55 : x
  2. Step 2: Convert to fraction form
    780.41/1,164.93 = 722.55/x
  3. Step 3: Cross multiply
    780.41x = 1,164.93 × 722.55
  4. Step 4: Simplify right side
    780.41x = 841,720.17
  5. Step 5: Solve for x
    x = 841,720.17/780.41
  6. Step 6: Final answer
    x = 1,078.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.