Home / 1,348.16-2,021.28-470.48

Finding the Fourth Proportional to 1,348.16, 2,021.28 and 470.48

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Solution

The fourth proportional to 1,348.16, 2,021.28 and 470.48 is: 705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.16 : 2,021.28 = 470.48 : x
  2. Step 2: Convert to fraction form
    1,348.16/2,021.28 = 470.48/x
  3. Step 3: Cross multiply
    1,348.16x = 2,021.28 × 470.48
  4. Step 4: Simplify right side
    1,348.16x = 950,971.81
  5. Step 5: Solve for x
    x = 950,971.81/1,348.16
  6. Step 6: Final answer
    x = 705.38

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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.