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Finding the Fourth Proportional to 783.93, 1,176.60 and 419.03

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Solution

The fourth proportional to 783.93, 1,176.60 and 419.03 is: 628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.93 : 1,176.60 = 419.03 : x
  2. Step 2: Convert to fraction form
    783.93/1,176.60 = 419.03/x
  3. Step 3: Cross multiply
    783.93x = 1,176.60 × 419.03
  4. Step 4: Simplify right side
    783.93x = 493,030.70
  5. Step 5: Solve for x
    x = 493,030.70/783.93
  6. Step 6: Final answer
    x = 628.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.