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Finding the Fourth Proportional to 1,439.76, 2,159.64 and 413.76

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Solution

The fourth proportional to 1,439.76, 2,159.64 and 413.76 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.76 : 2,159.64 = 413.76 : x
  2. Step 2: Convert to fraction form
    1,439.76/2,159.64 = 413.76/x
  3. Step 3: Cross multiply
    1,439.76x = 2,159.64 × 413.76
  4. Step 4: Simplify right side
    1,439.76x = 893,572.65
  5. Step 5: Solve for x
    x = 893,572.65/1,439.76
  6. Step 6: Final answer
    x = 620.64

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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.