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Finding the Fourth Proportional to 1,423.87, 2,134.18 and 652.75

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Solution

The fourth proportional to 1,423.87, 2,134.18 and 652.75 is: 978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.87 : 2,134.18 = 652.75 : x
  2. Step 2: Convert to fraction form
    1,423.87/2,134.18 = 652.75/x
  3. Step 3: Cross multiply
    1,423.87x = 2,134.18 × 652.75
  4. Step 4: Simplify right side
    1,423.87x = 1,393,086.00
  5. Step 5: Solve for x
    x = 1,393,086.00/1,423.87
  6. Step 6: Final answer
    x = 978.38

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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.