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Finding the Fourth Proportional to 1,063.40, 1,466.99 and 690.50

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Solution

The fourth proportional to 1,063.40, 1,466.99 and 690.50 is: 952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.40 : 1,466.99 = 690.50 : x
  2. Step 2: Convert to fraction form
    1,063.40/1,466.99 = 690.50/x
  3. Step 3: Cross multiply
    1,063.40x = 1,466.99 × 690.50
  4. Step 4: Simplify right side
    1,063.40x = 1,012,956.60
  5. Step 5: Solve for x
    x = 1,012,956.60/1,063.40
  6. Step 6: Final answer
    x = 952.56

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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.