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Finding the Fourth Proportional to 623.04, 933.64 and 276.06

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Solution

The fourth proportional to 623.04, 933.64 and 276.06 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.04 : 933.64 = 276.06 : x
  2. Step 2: Convert to fraction form
    623.04/933.64 = 276.06/x
  3. Step 3: Cross multiply
    623.04x = 933.64 × 276.06
  4. Step 4: Simplify right side
    623.04x = 257,734.61
  5. Step 5: Solve for x
    x = 257,734.61/623.04
  6. Step 6: Final answer
    x = 413.68

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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.