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Finding the Fourth Proportional to 776.84, 1,072.37 and 555.40

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Solution

The fourth proportional to 776.84, 1,072.37 and 555.40 is: 766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.84 : 1,072.37 = 555.40 : x
  2. Step 2: Convert to fraction form
    776.84/1,072.37 = 555.40/x
  3. Step 3: Cross multiply
    776.84x = 1,072.37 × 555.40
  4. Step 4: Simplify right side
    776.84x = 595,588.84
  5. Step 5: Solve for x
    x = 595,588.84/776.84
  6. Step 6: Final answer
    x = 766.69

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1.5x scale

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.