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Finding the Fourth Proportional to 554.31, 834.66 and 457.74

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Solution

The fourth proportional to 554.31, 834.66 and 457.74 is: 689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.31 : 834.66 = 457.74 : x
  2. Step 2: Convert to fraction form
    554.31/834.66 = 457.74/x
  3. Step 3: Cross multiply
    554.31x = 834.66 × 457.74
  4. Step 4: Simplify right side
    554.31x = 382,057.27
  5. Step 5: Solve for x
    x = 382,057.27/554.31
  6. Step 6: Final answer
    x = 689.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.