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Finding the Fourth Proportional to 903.49, 1,355.34 and 287.08

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Solution

The fourth proportional to 903.49, 1,355.34 and 287.08 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.49 : 1,355.34 = 287.08 : x
  2. Step 2: Convert to fraction form
    903.49/1,355.34 = 287.08/x
  3. Step 3: Cross multiply
    903.49x = 1,355.34 × 287.08
  4. Step 4: Simplify right side
    903.49x = 389,091.01
  5. Step 5: Solve for x
    x = 389,091.01/903.49
  6. Step 6: Final answer
    x = 430.65

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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.