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Finding the Fourth Proportional to 969.51, 1,454.37 and 559.11

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Solution

The fourth proportional to 969.51, 1,454.37 and 559.11 is: 838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.51 : 1,454.37 = 559.11 : x
  2. Step 2: Convert to fraction form
    969.51/1,454.37 = 559.11/x
  3. Step 3: Cross multiply
    969.51x = 1,454.37 × 559.11
  4. Step 4: Simplify right side
    969.51x = 813,152.81
  5. Step 5: Solve for x
    x = 813,152.81/969.51
  6. Step 6: Final answer
    x = 838.73

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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.