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Finding the Fourth Proportional to 1,482.20, 2,223.71 and 442.24

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Solution

The fourth proportional to 1,482.20, 2,223.71 and 442.24 is: 663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.20 : 2,223.71 = 442.24 : x
  2. Step 2: Convert to fraction form
    1,482.20/2,223.71 = 442.24/x
  3. Step 3: Cross multiply
    1,482.20x = 2,223.71 × 442.24
  4. Step 4: Simplify right side
    1,482.20x = 983,413.23
  5. Step 5: Solve for x
    x = 983,413.23/1,482.20
  6. Step 6: Final answer
    x = 663.48

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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.