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Finding the Fourth Proportional to 1,412.92, 2,119.51 and 488.35

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Solution

The fourth proportional to 1,412.92, 2,119.51 and 488.35 is: 732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.92 : 2,119.51 = 488.35 : x
  2. Step 2: Convert to fraction form
    1,412.92/2,119.51 = 488.35/x
  3. Step 3: Cross multiply
    1,412.92x = 2,119.51 × 488.35
  4. Step 4: Simplify right side
    1,412.92x = 1,035,062.71
  5. Step 5: Solve for x
    x = 1,035,062.71/1,412.92
  6. Step 6: Final answer
    x = 732.57

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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.