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Finding the Fourth Proportional to 957.79, 1,428.44 and 940.51

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Solution

The fourth proportional to 957.79, 1,428.44 and 940.51 is: 1,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.79 : 1,428.44 = 940.51 : x
  2. Step 2: Convert to fraction form
    957.79/1,428.44 = 940.51/x
  3. Step 3: Cross multiply
    957.79x = 1,428.44 × 940.51
  4. Step 4: Simplify right side
    957.79x = 1,343,462.10
  5. Step 5: Solve for x
    x = 1,343,462.10/957.79
  6. Step 6: Final answer
    x = 1,402.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.