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Finding the Fourth Proportional to 770.51, 1,062.96 and 490.65

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Solution

The fourth proportional to 770.51, 1,062.96 and 490.65 is: 676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.51 : 1,062.96 = 490.65 : x
  2. Step 2: Convert to fraction form
    770.51/1,062.96 = 490.65/x
  3. Step 3: Cross multiply
    770.51x = 1,062.96 × 490.65
  4. Step 4: Simplify right side
    770.51x = 521,541.32
  5. Step 5: Solve for x
    x = 521,541.32/770.51
  6. Step 6: Final answer
    x = 676.88

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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.