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Finding the Fourth Proportional to 603.02, 904.85 and 278.35

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Solution

The fourth proportional to 603.02, 904.85 and 278.35 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.02 : 904.85 = 278.35 : x
  2. Step 2: Convert to fraction form
    603.02/904.85 = 278.35/x
  3. Step 3: Cross multiply
    603.02x = 904.85 × 278.35
  4. Step 4: Simplify right side
    603.02x = 251,863.43
  5. Step 5: Solve for x
    x = 251,863.43/603.02
  6. Step 6: Final answer
    x = 417.67

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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.