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Finding the Fourth Proportional to 989.98, 1,485.84 and 578.56

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Solution

The fourth proportional to 989.98, 1,485.84 and 578.56 is: 868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.98 : 1,485.84 = 578.56 : x
  2. Step 2: Convert to fraction form
    989.98/1,485.84 = 578.56/x
  3. Step 3: Cross multiply
    989.98x = 1,485.84 × 578.56
  4. Step 4: Simplify right side
    989.98x = 859,647.59
  5. Step 5: Solve for x
    x = 859,647.59/989.98
  6. Step 6: Final answer
    x = 868.35

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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.