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Finding the Fourth Proportional to 972.33, 1,341.33 and 640.63

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Solution

The fourth proportional to 972.33, 1,341.33 and 640.63 is: 883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.33 : 1,341.33 = 640.63 : x
  2. Step 2: Convert to fraction form
    972.33/1,341.33 = 640.63/x
  3. Step 3: Cross multiply
    972.33x = 1,341.33 × 640.63
  4. Step 4: Simplify right side
    972.33x = 859,293.03
  5. Step 5: Solve for x
    x = 859,293.03/972.33
  6. Step 6: Final answer
    x = 883.75

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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.