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Finding the Fourth Proportional to 554.64, 829.80 and 499.92

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Solution

The fourth proportional to 554.64, 829.80 and 499.92 is: 747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.64 : 829.80 = 499.92 : x
  2. Step 2: Convert to fraction form
    554.64/829.80 = 499.92/x
  3. Step 3: Cross multiply
    554.64x = 829.80 × 499.92
  4. Step 4: Simplify right side
    554.64x = 414,833.62
  5. Step 5: Solve for x
    x = 414,833.62/554.64
  6. Step 6: Final answer
    x = 747.93

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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.