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Finding the Fourth Proportional to 1,445.31, 2,166.48 and 470.66

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Solution

The fourth proportional to 1,445.31, 2,166.48 and 470.66 is: 705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.31 : 2,166.48 = 470.66 : x
  2. Step 2: Convert to fraction form
    1,445.31/2,166.48 = 470.66/x
  3. Step 3: Cross multiply
    1,445.31x = 2,166.48 × 470.66
  4. Step 4: Simplify right side
    1,445.31x = 1,019,664.64
  5. Step 5: Solve for x
    x = 1,019,664.64/1,445.31
  6. Step 6: Final answer
    x = 705.50

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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.