Home / 1,064.18-1,597.36-823.34

Finding the Fourth Proportional to 1,064.18, 1,597.36 and 823.34

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Solution

The fourth proportional to 1,064.18, 1,597.36 and 823.34 is: 1,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.18 : 1,597.36 = 823.34 : x
  2. Step 2: Convert to fraction form
    1,064.18/1,597.36 = 823.34/x
  3. Step 3: Cross multiply
    1,064.18x = 1,597.36 × 823.34
  4. Step 4: Simplify right side
    1,064.18x = 1,315,170.38
  5. Step 5: Solve for x
    x = 1,315,170.38/1,064.18
  6. Step 6: Final answer
    x = 1,235.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.