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Finding the Fourth Proportional to 977.11, 1,348.55 and 584.05

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Solution

The fourth proportional to 977.11, 1,348.55 and 584.05 is: 806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.11 : 1,348.55 = 584.05 : x
  2. Step 2: Convert to fraction form
    977.11/1,348.55 = 584.05/x
  3. Step 3: Cross multiply
    977.11x = 1,348.55 × 584.05
  4. Step 4: Simplify right side
    977.11x = 787,620.63
  5. Step 5: Solve for x
    x = 787,620.63/977.11
  6. Step 6: Final answer
    x = 806.07

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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.