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Finding the Fourth Proportional to 973.91, 1,452.48 and 828.59

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Solution

The fourth proportional to 973.91, 1,452.48 and 828.59 is: 1,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.91 : 1,452.48 = 828.59 : x
  2. Step 2: Convert to fraction form
    973.91/1,452.48 = 828.59/x
  3. Step 3: Cross multiply
    973.91x = 1,452.48 × 828.59
  4. Step 4: Simplify right side
    973.91x = 1,203,503.14
  5. Step 5: Solve for x
    x = 1,203,503.14/973.91
  6. Step 6: Final answer
    x = 1,235.75

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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.