Home / 1,578.40-2,367.56-424.16

Finding the Fourth Proportional to 1,578.40, 2,367.56 and 424.16

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Solution

The fourth proportional to 1,578.40, 2,367.56 and 424.16 is: 636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.40 : 2,367.56 = 424.16 : x
  2. Step 2: Convert to fraction form
    1,578.40/2,367.56 = 424.16/x
  3. Step 3: Cross multiply
    1,578.40x = 2,367.56 × 424.16
  4. Step 4: Simplify right side
    1,578.40x = 1,004,224.25
  5. Step 5: Solve for x
    x = 1,004,224.25/1,578.40
  6. Step 6: Final answer
    x = 636.23

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1.5x scale

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.