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Finding the Fourth Proportional to 829.98, 1,145.78 and 535.41

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Solution

The fourth proportional to 829.98, 1,145.78 and 535.41 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.98 : 1,145.78 = 535.41 : x
  2. Step 2: Convert to fraction form
    829.98/1,145.78 = 535.41/x
  3. Step 3: Cross multiply
    829.98x = 1,145.78 × 535.41
  4. Step 4: Simplify right side
    829.98x = 613,462.07
  5. Step 5: Solve for x
    x = 613,462.07/829.98
  6. Step 6: Final answer
    x = 739.13

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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.