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Finding the Fourth Proportional to 1,392.17, 2,087.58 and 526.55

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Solution

The fourth proportional to 1,392.17, 2,087.58 and 526.55 is: 789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.17 : 2,087.58 = 526.55 : x
  2. Step 2: Convert to fraction form
    1,392.17/2,087.58 = 526.55/x
  3. Step 3: Cross multiply
    1,392.17x = 2,087.58 × 526.55
  4. Step 4: Simplify right side
    1,392.17x = 1,099,215.25
  5. Step 5: Solve for x
    x = 1,099,215.25/1,392.17
  6. Step 6: Final answer
    x = 789.57

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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.