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Finding the Fourth Proportional to 554.74, 833.07 and 458.74

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Solution

The fourth proportional to 554.74, 833.07 and 458.74 is: 688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.74 : 833.07 = 458.74 : x
  2. Step 2: Convert to fraction form
    554.74/833.07 = 458.74/x
  3. Step 3: Cross multiply
    554.74x = 833.07 × 458.74
  4. Step 4: Simplify right side
    554.74x = 382,162.53
  5. Step 5: Solve for x
    x = 382,162.53/554.74
  6. Step 6: Final answer
    x = 688.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.