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Finding the Fourth Proportional to 1,430.86, 2,145.62 and 650.83

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Solution

The fourth proportional to 1,430.86, 2,145.62 and 650.83 is: 975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.86 : 2,145.62 = 650.83 : x
  2. Step 2: Convert to fraction form
    1,430.86/2,145.62 = 650.83/x
  3. Step 3: Cross multiply
    1,430.86x = 2,145.62 × 650.83
  4. Step 4: Simplify right side
    1,430.86x = 1,396,423.14
  5. Step 5: Solve for x
    x = 1,396,423.14/1,430.86
  6. Step 6: Final answer
    x = 975.94

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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.