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Finding the Fourth Proportional to 1,017.54, 1,403.01 and 830.61

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Solution

The fourth proportional to 1,017.54, 1,403.01 and 830.61 is: 1,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.54 : 1,403.01 = 830.61 : x
  2. Step 2: Convert to fraction form
    1,017.54/1,403.01 = 830.61/x
  3. Step 3: Cross multiply
    1,017.54x = 1,403.01 × 830.61
  4. Step 4: Simplify right side
    1,017.54x = 1,165,354.14
  5. Step 5: Solve for x
    x = 1,165,354.14/1,017.54
  6. Step 6: Final answer
    x = 1,145.27

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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.