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Finding the Fourth Proportional to 940.79, 1,409.68 and 631.50

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Solution

The fourth proportional to 940.79, 1,409.68 and 631.50 is: 946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.79 : 1,409.68 = 631.50 : x
  2. Step 2: Convert to fraction form
    940.79/1,409.68 = 631.50/x
  3. Step 3: Cross multiply
    940.79x = 1,409.68 × 631.50
  4. Step 4: Simplify right side
    940.79x = 890,211.34
  5. Step 5: Solve for x
    x = 890,211.34/940.79
  6. Step 6: Final answer
    x = 946.24

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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.