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Finding the Fourth Proportional to 903.93, 1,354.28 and 840.75

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Solution

The fourth proportional to 903.93, 1,354.28 and 840.75 is: 1,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.93 : 1,354.28 = 840.75 : x
  2. Step 2: Convert to fraction form
    903.93/1,354.28 = 840.75/x
  3. Step 3: Cross multiply
    903.93x = 1,354.28 × 840.75
  4. Step 4: Simplify right side
    903.93x = 1,138,606.71
  5. Step 5: Solve for x
    x = 1,138,606.71/903.93
  6. Step 6: Final answer
    x = 1,259.62

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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.