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Finding the Fourth Proportional to 1,408.97, 2,113.49 and 435.07

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Solution

The fourth proportional to 1,408.97, 2,113.49 and 435.07 is: 652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.97 : 2,113.49 = 435.07 : x
  2. Step 2: Convert to fraction form
    1,408.97/2,113.49 = 435.07/x
  3. Step 3: Cross multiply
    1,408.97x = 2,113.49 × 435.07
  4. Step 4: Simplify right side
    1,408.97x = 919,516.09
  5. Step 5: Solve for x
    x = 919,516.09/1,408.97
  6. Step 6: Final answer
    x = 652.62

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Double scale
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1.5x scale

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.