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Finding the Fourth Proportional to 903.89, 1,355.74 and 416.81

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Solution

The fourth proportional to 903.89, 1,355.74 and 416.81 is: 625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.89 : 1,355.74 = 416.81 : x
  2. Step 2: Convert to fraction form
    903.89/1,355.74 = 416.81/x
  3. Step 3: Cross multiply
    903.89x = 1,355.74 × 416.81
  4. Step 4: Simplify right side
    903.89x = 565,088.34
  5. Step 5: Solve for x
    x = 565,088.34/903.89
  6. Step 6: Final answer
    x = 625.17

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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.