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Finding the Fourth Proportional to 1,430.71, 2,145.55 and 650.05

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Solution

The fourth proportional to 1,430.71, 2,145.55 and 650.05 is: 974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.71 : 2,145.55 = 650.05 : x
  2. Step 2: Convert to fraction form
    1,430.71/2,145.55 = 650.05/x
  3. Step 3: Cross multiply
    1,430.71x = 2,145.55 × 650.05
  4. Step 4: Simplify right side
    1,430.71x = 1,394,711.53
  5. Step 5: Solve for x
    x = 1,394,711.53/1,430.71
  6. Step 6: Final answer
    x = 974.84

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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.