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Finding the Fourth Proportional to 957.42, 1,440.99 and 715.23

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Solution

The fourth proportional to 957.42, 1,440.99 and 715.23 is: 1,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.42 : 1,440.99 = 715.23 : x
  2. Step 2: Convert to fraction form
    957.42/1,440.99 = 715.23/x
  3. Step 3: Cross multiply
    957.42x = 1,440.99 × 715.23
  4. Step 4: Simplify right side
    957.42x = 1,030,639.28
  5. Step 5: Solve for x
    x = 1,030,639.28/957.42
  6. Step 6: Final answer
    x = 1,076.48

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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.