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Finding the Fourth Proportional to 953.01, 1,314.49 and 828.45

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Solution

The fourth proportional to 953.01, 1,314.49 and 828.45 is: 1,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.01 : 1,314.49 = 828.45 : x
  2. Step 2: Convert to fraction form
    953.01/1,314.49 = 828.45/x
  3. Step 3: Cross multiply
    953.01x = 1,314.49 × 828.45
  4. Step 4: Simplify right side
    953.01x = 1,088,989.24
  5. Step 5: Solve for x
    x = 1,088,989.24/953.01
  6. Step 6: Final answer
    x = 1,142.68

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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.