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Finding the Fourth Proportional to 900.50, 1,241.40 and 701.60

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Solution

The fourth proportional to 900.50, 1,241.40 and 701.60 is: 967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.50 : 1,241.40 = 701.60 : x
  2. Step 2: Convert to fraction form
    900.50/1,241.40 = 701.60/x
  3. Step 3: Cross multiply
    900.50x = 1,241.40 × 701.60
  4. Step 4: Simplify right side
    900.50x = 870,966.24
  5. Step 5: Solve for x
    x = 870,966.24/900.50
  6. Step 6: Final answer
    x = 967.20

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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.