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Finding the Fourth Proportional to 990.81, 1,485.28 and 470.55

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Solution

The fourth proportional to 990.81, 1,485.28 and 470.55 is: 705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.81 : 1,485.28 = 470.55 : x
  2. Step 2: Convert to fraction form
    990.81/1,485.28 = 470.55/x
  3. Step 3: Cross multiply
    990.81x = 1,485.28 × 470.55
  4. Step 4: Simplify right side
    990.81x = 698,893.89
  5. Step 5: Solve for x
    x = 698,893.89/990.81
  6. Step 6: Final answer
    x = 705.37

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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.