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Finding the Fourth Proportional to 1,038.29, 1,558.08 and 422.00

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Solution

The fourth proportional to 1,038.29, 1,558.08 and 422.00 is: 633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.29 : 1,558.08 = 422.00 : x
  2. Step 2: Convert to fraction form
    1,038.29/1,558.08 = 422.00/x
  3. Step 3: Cross multiply
    1,038.29x = 1,558.08 × 422.00
  4. Step 4: Simplify right side
    1,038.29x = 657,501.97
  5. Step 5: Solve for x
    x = 657,501.97/1,038.29
  6. Step 6: Final answer
    x = 633.26

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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.