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Finding the Fourth Proportional to 829.02, 1,145.43 and 690.78

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Solution

The fourth proportional to 829.02, 1,145.43 and 690.78 is: 954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.02 : 1,145.43 = 690.78 : x
  2. Step 2: Convert to fraction form
    829.02/1,145.43 = 690.78/x
  3. Step 3: Cross multiply
    829.02x = 1,145.43 × 690.78
  4. Step 4: Simplify right side
    829.02x = 791,240.14
  5. Step 5: Solve for x
    x = 791,240.14/829.02
  6. Step 6: Final answer
    x = 954.43

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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.