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Finding the Fourth Proportional to 989.95, 1,485.90 and 470.30

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Solution

The fourth proportional to 989.95, 1,485.90 and 470.30 is: 705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.95 : 1,485.90 = 470.30 : x
  2. Step 2: Convert to fraction form
    989.95/1,485.90 = 470.30/x
  3. Step 3: Cross multiply
    989.95x = 1,485.90 × 470.30
  4. Step 4: Simplify right side
    989.95x = 698,816.42
  5. Step 5: Solve for x
    x = 698,816.42/989.95
  6. Step 6: Final answer
    x = 705.91

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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.