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Finding the Fourth Proportional to 1,409.32, 2,114.15 and 435.50

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Solution

The fourth proportional to 1,409.32, 2,114.15 and 435.50 is: 653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.32 : 2,114.15 = 435.50 : x
  2. Step 2: Convert to fraction form
    1,409.32/2,114.15 = 435.50/x
  3. Step 3: Cross multiply
    1,409.32x = 2,114.15 × 435.50
  4. Step 4: Simplify right side
    1,409.32x = 920,712.33
  5. Step 5: Solve for x
    x = 920,712.33/1,409.32
  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.