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Finding the Fourth Proportional to 953.58, 1,424.08 and 823.84

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Solution

The fourth proportional to 953.58, 1,424.08 and 823.84 is: 1,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.58 : 1,424.08 = 823.84 : x
  2. Step 2: Convert to fraction form
    953.58/1,424.08 = 823.84/x
  3. Step 3: Cross multiply
    953.58x = 1,424.08 × 823.84
  4. Step 4: Simplify right side
    953.58x = 1,173,214.07
  5. Step 5: Solve for x
    x = 1,173,214.07/953.58
  6. Step 6: Final answer
    x = 1,230.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.