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Finding the Fourth Proportional to 977.11, 1,348.37 and 583.90

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Solution

The fourth proportional to 977.11, 1,348.37 and 583.90 is: 805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.11 : 1,348.37 = 583.90 : x
  2. Step 2: Convert to fraction form
    977.11/1,348.37 = 583.90/x
  3. Step 3: Cross multiply
    977.11x = 1,348.37 × 583.90
  4. Step 4: Simplify right side
    977.11x = 787,303.58
  5. Step 5: Solve for x
    x = 787,303.58/977.11
  6. Step 6: Final answer
    x = 805.75

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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.