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Finding the Fourth Proportional to 770.46, 1,063.36 and 490.81

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Solution

The fourth proportional to 770.46, 1,063.36 and 490.81 is: 677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.46 : 1,063.36 = 490.81 : x
  2. Step 2: Convert to fraction form
    770.46/1,063.36 = 490.81/x
  3. Step 3: Cross multiply
    770.46x = 1,063.36 × 490.81
  4. Step 4: Simplify right side
    770.46x = 521,907.67
  5. Step 5: Solve for x
    x = 521,907.67/770.46
  6. Step 6: Final answer
    x = 677.40

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Double scale
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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.