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Finding the Fourth Proportional to 942.84, 1,300.14 and 631.80

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Solution

The fourth proportional to 942.84, 1,300.14 and 631.80 is: 871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,300.14 = 631.80 : x
  2. Step 2: Convert to fraction form
    942.84/1,300.14 = 631.80/x
  3. Step 3: Cross multiply
    942.84x = 1,300.14 × 631.80
  4. Step 4: Simplify right side
    942.84x = 821,428.45
  5. Step 5: Solve for x
    x = 821,428.45/942.84
  6. Step 6: Final answer
    x = 871.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.