Home / 1,638.09-2,457.78-598.16

Finding the Fourth Proportional to 1,638.09, 2,457.78 and 598.16

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Solution

The fourth proportional to 1,638.09, 2,457.78 and 598.16 is: 897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.09 : 2,457.78 = 598.16 : x
  2. Step 2: Convert to fraction form
    1,638.09/2,457.78 = 598.16/x
  3. Step 3: Cross multiply
    1,638.09x = 2,457.78 × 598.16
  4. Step 4: Simplify right side
    1,638.09x = 1,470,133.40
  5. Step 5: Solve for x
    x = 1,470,133.40/1,638.09
  6. Step 6: Final answer
    x = 897.47

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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.