Home / 1,444.24-2,166.80-470.40

Finding the Fourth Proportional to 1,444.24, 2,166.80 and 470.40

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Solution

The fourth proportional to 1,444.24, 2,166.80 and 470.40 is: 705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.24 : 2,166.80 = 470.40 : x
  2. Step 2: Convert to fraction form
    1,444.24/2,166.80 = 470.40/x
  3. Step 3: Cross multiply
    1,444.24x = 2,166.80 × 470.40
  4. Step 4: Simplify right side
    1,444.24x = 1,019,262.72
  5. Step 5: Solve for x
    x = 1,019,262.72/1,444.24
  6. Step 6: Final answer
    x = 705.74

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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.