Home / 1,370.25-2,055.38-458.25

Finding the Fourth Proportional to 1,370.25, 2,055.38 and 458.25

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Solution

The fourth proportional to 1,370.25, 2,055.38 and 458.25 is: 687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.25 : 2,055.38 = 458.25 : x
  2. Step 2: Convert to fraction form
    1,370.25/2,055.38 = 458.25/x
  3. Step 3: Cross multiply
    1,370.25x = 2,055.38 × 458.25
  4. Step 4: Simplify right side
    1,370.25x = 941,875.59
  5. Step 5: Solve for x
    x = 941,875.59/1,370.25
  6. Step 6: Final answer
    x = 687.38

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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.