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Finding the Fourth Proportional to 890.07, 1,335.11 and 312.95

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Solution

The fourth proportional to 890.07, 1,335.11 and 312.95 is: 469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.07 : 1,335.11 = 312.95 : x
  2. Step 2: Convert to fraction form
    890.07/1,335.11 = 312.95/x
  3. Step 3: Cross multiply
    890.07x = 1,335.11 × 312.95
  4. Step 4: Simplify right side
    890.07x = 417,814.43
  5. Step 5: Solve for x
    x = 417,814.43/890.07
  6. Step 6: Final answer
    x = 469.42

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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.