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Finding the Fourth Proportional to 890.47, 1,335.78 and 305.45

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Solution

The fourth proportional to 890.47, 1,335.78 and 305.45 is: 458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.47 : 1,335.78 = 305.45 : x
  2. Step 2: Convert to fraction form
    890.47/1,335.78 = 305.45/x
  3. Step 3: Cross multiply
    890.47x = 1,335.78 × 305.45
  4. Step 4: Simplify right side
    890.47x = 408,014.00
  5. Step 5: Solve for x
    x = 408,014.00/890.47
  6. Step 6: Final answer
    x = 458.20

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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.