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Finding the Fourth Proportional to 776.45, 1,072.89 and 555.02

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Solution

The fourth proportional to 776.45, 1,072.89 and 555.02 is: 766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.45 : 1,072.89 = 555.02 : x
  2. Step 2: Convert to fraction form
    776.45/1,072.89 = 555.02/x
  3. Step 3: Cross multiply
    776.45x = 1,072.89 × 555.02
  4. Step 4: Simplify right side
    776.45x = 595,475.41
  5. Step 5: Solve for x
    x = 595,475.41/776.45
  6. Step 6: Final answer
    x = 766.92

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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.