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Finding the Fourth Proportional to 830.24, 1,145.52 and 554.24

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Solution

The fourth proportional to 830.24, 1,145.52 and 554.24 is: 764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.24 : 1,145.52 = 554.24 : x
  2. Step 2: Convert to fraction form
    830.24/1,145.52 = 554.24/x
  3. Step 3: Cross multiply
    830.24x = 1,145.52 × 554.24
  4. Step 4: Simplify right side
    830.24x = 634,893.00
  5. Step 5: Solve for x
    x = 634,893.00/830.24
  6. Step 6: Final answer
    x = 764.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.