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Finding the Fourth Proportional to 823.35, 1,230.26 and 693.75

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Solution

The fourth proportional to 823.35, 1,230.26 and 693.75 is: 1,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.35 : 1,230.26 = 693.75 : x
  2. Step 2: Convert to fraction form
    823.35/1,230.26 = 693.75/x
  3. Step 3: Cross multiply
    823.35x = 1,230.26 × 693.75
  4. Step 4: Simplify right side
    823.35x = 853,489.41
  5. Step 5: Solve for x
    x = 853,489.41/823.35
  6. Step 6: Final answer
    x = 1,036.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.