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Finding the Fourth Proportional to 1,038.60, 1,566.27 and 923.40

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Solution

The fourth proportional to 1,038.60, 1,566.27 and 923.40 is: 1,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.60 : 1,566.27 = 923.40 : x
  2. Step 2: Convert to fraction form
    1,038.60/1,566.27 = 923.40/x
  3. Step 3: Cross multiply
    1,038.60x = 1,566.27 × 923.40
  4. Step 4: Simplify right side
    1,038.60x = 1,446,293.72
  5. Step 5: Solve for x
    x = 1,446,293.72/1,038.60
  6. Step 6: Final answer
    x = 1,392.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.