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Finding the Fourth Proportional to 604.96, 907.47 and 275.77

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Solution

The fourth proportional to 604.96, 907.47 and 275.77 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.96 : 907.47 = 275.77 : x
  2. Step 2: Convert to fraction form
    604.96/907.47 = 275.77/x
  3. Step 3: Cross multiply
    604.96x = 907.47 × 275.77
  4. Step 4: Simplify right side
    604.96x = 250,253.00
  5. Step 5: Solve for x
    x = 250,253.00/604.96
  6. Step 6: Final answer
    x = 413.67

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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.