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Finding the Fourth Proportional to 1,987.25, 2,980.58 and 526.50

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Solution

The fourth proportional to 1,987.25, 2,980.58 and 526.50 is: 789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.25 : 2,980.58 = 526.50 : x
  2. Step 2: Convert to fraction form
    1,987.25/2,980.58 = 526.50/x
  3. Step 3: Cross multiply
    1,987.25x = 2,980.58 × 526.50
  4. Step 4: Simplify right side
    1,987.25x = 1,569,275.37
  5. Step 5: Solve for x
    x = 1,569,275.37/1,987.25
  6. Step 6: Final answer
    x = 789.67

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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.