Home / 1,292.19-1,937.80-470.26

Finding the Fourth Proportional to 1,292.19, 1,937.80 and 470.26

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Solution

The fourth proportional to 1,292.19, 1,937.80 and 470.26 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.19 : 1,937.80 = 470.26 : x
  2. Step 2: Convert to fraction form
    1,292.19/1,937.80 = 470.26/x
  3. Step 3: Cross multiply
    1,292.19x = 1,937.80 × 470.26
  4. Step 4: Simplify right side
    1,292.19x = 911,269.83
  5. Step 5: Solve for x
    x = 911,269.83/1,292.19
  6. Step 6: Final answer
    x = 705.21

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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.