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Finding the Fourth Proportional to 1,413.42, 2,118.65 and 590.55

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Solution

The fourth proportional to 1,413.42, 2,118.65 and 590.55 is: 885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.42 : 2,118.65 = 590.55 : x
  2. Step 2: Convert to fraction form
    1,413.42/2,118.65 = 590.55/x
  3. Step 3: Cross multiply
    1,413.42x = 2,118.65 × 590.55
  4. Step 4: Simplify right side
    1,413.42x = 1,251,165.80
  5. Step 5: Solve for x
    x = 1,251,165.80/1,413.42
  6. Step 6: Final answer
    x = 885.20

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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.