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Finding the Fourth Proportional to 770.74, 1,063.51 and 490.48

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Solution

The fourth proportional to 770.74, 1,063.51 and 490.48 is: 676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.74 : 1,063.51 = 490.48 : x
  2. Step 2: Convert to fraction form
    770.74/1,063.51 = 490.48/x
  3. Step 3: Cross multiply
    770.74x = 1,063.51 × 490.48
  4. Step 4: Simplify right side
    770.74x = 521,630.38
  5. Step 5: Solve for x
    x = 521,630.38/770.74
  6. Step 6: Final answer
    x = 676.79

Related Problems

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Half scale
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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.