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Finding the Fourth Proportional to 1,409.92, 2,115.30 and 436.10

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Solution

The fourth proportional to 1,409.92, 2,115.30 and 436.10 is: 654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.92 : 2,115.30 = 436.10 : x
  2. Step 2: Convert to fraction form
    1,409.92/2,115.30 = 436.10/x
  3. Step 3: Cross multiply
    1,409.92x = 2,115.30 × 436.10
  4. Step 4: Simplify right side
    1,409.92x = 922,482.33
  5. Step 5: Solve for x
    x = 922,482.33/1,409.92
  6. Step 6: Final answer
    x = 654.28

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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.