Home / 1,478.08-2,216.93-438.19

Finding the Fourth Proportional to 1,478.08, 2,216.93 and 438.19

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Solution

The fourth proportional to 1,478.08, 2,216.93 and 438.19 is: 657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.08 : 2,216.93 = 438.19 : x
  2. Step 2: Convert to fraction form
    1,478.08/2,216.93 = 438.19/x
  3. Step 3: Cross multiply
    1,478.08x = 2,216.93 × 438.19
  4. Step 4: Simplify right side
    1,478.08x = 971,428.82
  5. Step 5: Solve for x
    x = 971,428.82/1,478.08
  6. Step 6: Final answer
    x = 657.22

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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.