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Finding the Fourth Proportional to 1,428.55, 2,142.84 and 606.31

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Solution

The fourth proportional to 1,428.55, 2,142.84 and 606.31 is: 909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.55 : 2,142.84 = 606.31 : x
  2. Step 2: Convert to fraction form
    1,428.55/2,142.84 = 606.31/x
  3. Step 3: Cross multiply
    1,428.55x = 2,142.84 × 606.31
  4. Step 4: Simplify right side
    1,428.55x = 1,299,225.32
  5. Step 5: Solve for x
    x = 1,299,225.32/1,428.55
  6. Step 6: Final answer
    x = 909.47

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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.