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Finding the Fourth Proportional to 1,043.07, 1,438.74 and 972.74

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Solution

The fourth proportional to 1,043.07, 1,438.74 and 972.74 is: 1,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.07 : 1,438.74 = 972.74 : x
  2. Step 2: Convert to fraction form
    1,043.07/1,438.74 = 972.74/x
  3. Step 3: Cross multiply
    1,043.07x = 1,438.74 × 972.74
  4. Step 4: Simplify right side
    1,043.07x = 1,399,512.75
  5. Step 5: Solve for x
    x = 1,399,512.75/1,043.07
  6. Step 6: Final answer
    x = 1,341.72

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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.