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Finding the Fourth Proportional to 1,325.40, 1,829.07 and 828.24

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Solution

The fourth proportional to 1,325.40, 1,829.07 and 828.24 is: 1,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.40 : 1,829.07 = 828.24 : x
  2. Step 2: Convert to fraction form
    1,325.40/1,829.07 = 828.24/x
  3. Step 3: Cross multiply
    1,325.40x = 1,829.07 × 828.24
  4. Step 4: Simplify right side
    1,325.40x = 1,514,908.94
  5. Step 5: Solve for x
    x = 1,514,908.94/1,325.40
  6. Step 6: Final answer
    x = 1,142.98

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1.5x scale

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.