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Finding the Fourth Proportional to 554.73, 830.76 and 438.80

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Solution

The fourth proportional to 554.73, 830.76 and 438.80 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.73 : 830.76 = 438.80 : x
  2. Step 2: Convert to fraction form
    554.73/830.76 = 438.80/x
  3. Step 3: Cross multiply
    554.73x = 830.76 × 438.80
  4. Step 4: Simplify right side
    554.73x = 364,534.71
  5. Step 5: Solve for x
    x = 364,534.71/554.73
  6. Step 6: Final answer
    x = 657.14

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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.