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Finding the Fourth Proportional to 1,458.90, 2,188.43 and 419.06

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Solution

The fourth proportional to 1,458.90, 2,188.43 and 419.06 is: 628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.90 : 2,188.43 = 419.06 : x
  2. Step 2: Convert to fraction form
    1,458.90/2,188.43 = 419.06/x
  3. Step 3: Cross multiply
    1,458.90x = 2,188.43 × 419.06
  4. Step 4: Simplify right side
    1,458.90x = 917,070.44
  5. Step 5: Solve for x
    x = 917,070.44/1,458.90
  6. Step 6: Final answer
    x = 628.60

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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.