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Finding the Fourth Proportional to 1,444.67, 2,166.55 and 470.55

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Solution

The fourth proportional to 1,444.67, 2,166.55 and 470.55 is: 705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.67 : 2,166.55 = 470.55 : x
  2. Step 2: Convert to fraction form
    1,444.67/2,166.55 = 470.55/x
  3. Step 3: Cross multiply
    1,444.67x = 2,166.55 × 470.55
  4. Step 4: Simplify right side
    1,444.67x = 1,019,470.10
  5. Step 5: Solve for x
    x = 1,019,470.10/1,444.67
  6. Step 6: Final answer
    x = 705.68

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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.