Home / 1,608.17-2,412.40-438.24

Finding the Fourth Proportional to 1,608.17, 2,412.40 and 438.24

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Solution

The fourth proportional to 1,608.17, 2,412.40 and 438.24 is: 657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.17 : 2,412.40 = 438.24 : x
  2. Step 2: Convert to fraction form
    1,608.17/2,412.40 = 438.24/x
  3. Step 3: Cross multiply
    1,608.17x = 2,412.40 × 438.24
  4. Step 4: Simplify right side
    1,608.17x = 1,057,210.18
  5. Step 5: Solve for x
    x = 1,057,210.18/1,608.17
  6. Step 6: Final answer
    x = 657.40

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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.