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Finding the Fourth Proportional to 903.49, 1,354.19 and 415.51

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Solution

The fourth proportional to 903.49, 1,354.19 and 415.51 is: 622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.49 : 1,354.19 = 415.51 : x
  2. Step 2: Convert to fraction form
    903.49/1,354.19 = 415.51/x
  3. Step 3: Cross multiply
    903.49x = 1,354.19 × 415.51
  4. Step 4: Simplify right side
    903.49x = 562,679.49
  5. Step 5: Solve for x
    x = 562,679.49/903.49
  6. Step 6: Final answer
    x = 622.78

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1.5x scale

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.