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Finding the Fourth Proportional to 603.86, 906.60 and 315.50

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Solution

The fourth proportional to 603.86, 906.60 and 315.50 is: 473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.86 : 906.60 = 315.50 : x
  2. Step 2: Convert to fraction form
    603.86/906.60 = 315.50/x
  3. Step 3: Cross multiply
    603.86x = 906.60 × 315.50
  4. Step 4: Simplify right side
    603.86x = 286,032.30
  5. Step 5: Solve for x
    x = 286,032.30/603.86
  6. Step 6: Final answer
    x = 473.67

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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.