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Finding the Fourth Proportional to 966.50, 1,448.53 and 693.12

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Solution

The fourth proportional to 966.50, 1,448.53 and 693.12 is: 1,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.50 : 1,448.53 = 693.12 : x
  2. Step 2: Convert to fraction form
    966.50/1,448.53 = 693.12/x
  3. Step 3: Cross multiply
    966.50x = 1,448.53 × 693.12
  4. Step 4: Simplify right side
    966.50x = 1,004,012.71
  5. Step 5: Solve for x
    x = 1,004,012.71/966.50
  6. Step 6: Final answer
    x = 1,038.81

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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.