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Finding the Fourth Proportional to 1,447.58, 2,172.18 and 582.50

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Solution

The fourth proportional to 1,447.58, 2,172.18 and 582.50 is: 874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.58 : 2,172.18 = 582.50 : x
  2. Step 2: Convert to fraction form
    1,447.58/2,172.18 = 582.50/x
  3. Step 3: Cross multiply
    1,447.58x = 2,172.18 × 582.50
  4. Step 4: Simplify right side
    1,447.58x = 1,265,294.85
  5. Step 5: Solve for x
    x = 1,265,294.85/1,447.58
  6. Step 6: Final answer
    x = 874.08

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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.