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Finding the Fourth Proportional to 1,430.93, 2,145.69 and 650.90

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Solution

The fourth proportional to 1,430.93, 2,145.69 and 650.90 is: 976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.93 : 2,145.69 = 650.90 : x
  2. Step 2: Convert to fraction form
    1,430.93/2,145.69 = 650.90/x
  3. Step 3: Cross multiply
    1,430.93x = 2,145.69 × 650.90
  4. Step 4: Simplify right side
    1,430.93x = 1,396,618.89
  5. Step 5: Solve for x
    x = 1,396,618.89/1,430.93
  6. Step 6: Final answer
    x = 976.03

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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.