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Finding the Fourth Proportional to 825.64, 1,137.45 and 576.52

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Solution

The fourth proportional to 825.64, 1,137.45 and 576.52 is: 794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.64 : 1,137.45 = 576.52 : x
  2. Step 2: Convert to fraction form
    825.64/1,137.45 = 576.52/x
  3. Step 3: Cross multiply
    825.64x = 1,137.45 × 576.52
  4. Step 4: Simplify right side
    825.64x = 655,762.67
  5. Step 5: Solve for x
    x = 655,762.67/825.64
  6. Step 6: Final answer
    x = 794.25

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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.