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Finding the Fourth Proportional to 967.40, 1,459.11 and 903.40

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Solution

The fourth proportional to 967.40, 1,459.11 and 903.40 is: 1,362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.40 : 1,459.11 = 903.40 : x
  2. Step 2: Convert to fraction form
    967.40/1,459.11 = 903.40/x
  3. Step 3: Cross multiply
    967.40x = 1,459.11 × 903.40
  4. Step 4: Simplify right side
    967.40x = 1,318,159.97
  5. Step 5: Solve for x
    x = 1,318,159.97/967.40
  6. Step 6: Final answer
    x = 1,362.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.