Home / 1,030.98-1,546.34-414.66

Finding the Fourth Proportional to 1,030.98, 1,546.34 and 414.66

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Solution

The fourth proportional to 1,030.98, 1,546.34 and 414.66 is: 621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.98 : 1,546.34 = 414.66 : x
  2. Step 2: Convert to fraction form
    1,030.98/1,546.34 = 414.66/x
  3. Step 3: Cross multiply
    1,030.98x = 1,546.34 × 414.66
  4. Step 4: Simplify right side
    1,030.98x = 641,205.34
  5. Step 5: Solve for x
    x = 641,205.34/1,030.98
  6. Step 6: Final answer
    x = 621.94

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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.