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Finding the Fourth Proportional to 1,032.78, 1,426.23 and 639.93

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Solution

The fourth proportional to 1,032.78, 1,426.23 and 639.93 is: 883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.78 : 1,426.23 = 639.93 : x
  2. Step 2: Convert to fraction form
    1,032.78/1,426.23 = 639.93/x
  3. Step 3: Cross multiply
    1,032.78x = 1,426.23 × 639.93
  4. Step 4: Simplify right side
    1,032.78x = 912,687.36
  5. Step 5: Solve for x
    x = 912,687.36/1,032.78
  6. Step 6: Final answer
    x = 883.72

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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.