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Finding the Fourth Proportional to 1,054.34, 1,455.29 and 634.71

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Solution

The fourth proportional to 1,054.34, 1,455.29 and 634.71 is: 876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.34 : 1,455.29 = 634.71 : x
  2. Step 2: Convert to fraction form
    1,054.34/1,455.29 = 634.71/x
  3. Step 3: Cross multiply
    1,054.34x = 1,455.29 × 634.71
  4. Step 4: Simplify right side
    1,054.34x = 923,683.94
  5. Step 5: Solve for x
    x = 923,683.94/1,054.34
  6. Step 6: Final answer
    x = 876.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.