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Finding the Fourth Proportional to 783.08, 1,177.06 and 676.16

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Solution

The fourth proportional to 783.08, 1,177.06 and 676.16 is: 1,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.08 : 1,177.06 = 676.16 : x
  2. Step 2: Convert to fraction form
    783.08/1,177.06 = 676.16/x
  3. Step 3: Cross multiply
    783.08x = 1,177.06 × 676.16
  4. Step 4: Simplify right side
    783.08x = 795,880.89
  5. Step 5: Solve for x
    x = 795,880.89/783.08
  6. Step 6: Final answer
    x = 1,016.35

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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.