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Finding the Fourth Proportional to 1,140.42, 1,709.74 and 523.67

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Solution

The fourth proportional to 1,140.42, 1,709.74 and 523.67 is: 785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.42 : 1,709.74 = 523.67 : x
  2. Step 2: Convert to fraction form
    1,140.42/1,709.74 = 523.67/x
  3. Step 3: Cross multiply
    1,140.42x = 1,709.74 × 523.67
  4. Step 4: Simplify right side
    1,140.42x = 895,342.51
  5. Step 5: Solve for x
    x = 895,342.51/1,140.42
  6. Step 6: Final answer
    x = 785.10

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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.