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Finding the Fourth Proportional to 600.95, 901.87 and 312.59

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Solution

The fourth proportional to 600.95, 901.87 and 312.59 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.95 : 901.87 = 312.59 : x
  2. Step 2: Convert to fraction form
    600.95/901.87 = 312.59/x
  3. Step 3: Cross multiply
    600.95x = 901.87 × 312.59
  4. Step 4: Simplify right side
    600.95x = 281,917.02
  5. Step 5: Solve for x
    x = 281,917.02/600.95
  6. Step 6: Final answer
    x = 469.12

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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.