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Finding the Fourth Proportional to 972.31, 1,457.37 and 894.45

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Solution

The fourth proportional to 972.31, 1,457.37 and 894.45 is: 1,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.31 : 1,457.37 = 894.45 : x
  2. Step 2: Convert to fraction form
    972.31/1,457.37 = 894.45/x
  3. Step 3: Cross multiply
    972.31x = 1,457.37 × 894.45
  4. Step 4: Simplify right side
    972.31x = 1,303,540.12
  5. Step 5: Solve for x
    x = 1,303,540.12/972.31
  6. Step 6: Final answer
    x = 1,340.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.