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Finding the Fourth Proportional to 1,719.98, 2,580.57 and 988.55

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Solution

The fourth proportional to 1,719.98, 2,580.57 and 988.55 is: 1,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.98 : 2,580.57 = 988.55 : x
  2. Step 2: Convert to fraction form
    1,719.98/2,580.57 = 988.55/x
  3. Step 3: Cross multiply
    1,719.98x = 2,580.57 × 988.55
  4. Step 4: Simplify right side
    1,719.98x = 2,551,009.57
  5. Step 5: Solve for x
    x = 2,551,009.57/1,719.98
  6. Step 6: Final answer
    x = 1,483.17

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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.