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Finding the Fourth Proportional to 1,409.70, 2,113.84 and 435.68

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Solution

The fourth proportional to 1,409.70, 2,113.84 and 435.68 is: 653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.70 : 2,113.84 = 435.68 : x
  2. Step 2: Convert to fraction form
    1,409.70/2,113.84 = 435.68/x
  3. Step 3: Cross multiply
    1,409.70x = 2,113.84 × 435.68
  4. Step 4: Simplify right side
    1,409.70x = 920,957.81
  5. Step 5: Solve for x
    x = 920,957.81/1,409.70
  6. Step 6: Final answer
    x = 653.30

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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.