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Finding the Fourth Proportional to 903.40, 1,355.29 and 287.03

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Solution

The fourth proportional to 903.40, 1,355.29 and 287.03 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.40 : 1,355.29 = 287.03 : x
  2. Step 2: Convert to fraction form
    903.40/1,355.29 = 287.03/x
  3. Step 3: Cross multiply
    903.40x = 1,355.29 × 287.03
  4. Step 4: Simplify right side
    903.40x = 389,001.39
  5. Step 5: Solve for x
    x = 389,001.39/903.40
  6. Step 6: Final answer
    x = 430.60

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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.