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Finding the Fourth Proportional to 770.04, 1,063.73 and 687.12

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Solution

The fourth proportional to 770.04, 1,063.73 and 687.12 is: 949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.04 : 1,063.73 = 687.12 : x
  2. Step 2: Convert to fraction form
    770.04/1,063.73 = 687.12/x
  3. Step 3: Cross multiply
    770.04x = 1,063.73 × 687.12
  4. Step 4: Simplify right side
    770.04x = 730,910.16
  5. Step 5: Solve for x
    x = 730,910.16/770.04
  6. Step 6: Final answer
    x = 949.18

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1.5x scale

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.