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Finding the Fourth Proportional to 889.95, 1,335.12 and 305.00

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Solution

The fourth proportional to 889.95, 1,335.12 and 305.00 is: 457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.95 : 1,335.12 = 305.00 : x
  2. Step 2: Convert to fraction form
    889.95/1,335.12 = 305.00/x
  3. Step 3: Cross multiply
    889.95x = 1,335.12 × 305.00
  4. Step 4: Simplify right side
    889.95x = 407,208.79
  5. Step 5: Solve for x
    x = 407,208.79/889.95
  6. Step 6: Final answer
    x = 457.56

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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.