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Finding the Fourth Proportional to 1,719.02, 2,578.50 and 420.50

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Solution

The fourth proportional to 1,719.02, 2,578.50 and 420.50 is: 630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.02 : 2,578.50 = 420.50 : x
  2. Step 2: Convert to fraction form
    1,719.02/2,578.50 = 420.50/x
  3. Step 3: Cross multiply
    1,719.02x = 2,578.50 × 420.50
  4. Step 4: Simplify right side
    1,719.02x = 1,084,246.36
  5. Step 5: Solve for x
    x = 1,084,246.36/1,719.02
  6. Step 6: Final answer
    x = 630.74

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Similar ratio
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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.