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Finding the Fourth Proportional to 687.54, 1,030.58 and 225.20

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Solution

The fourth proportional to 687.54, 1,030.58 and 225.20 is: 337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.54 : 1,030.58 = 225.20 : x
  2. Step 2: Convert to fraction form
    687.54/1,030.58 = 225.20/x
  3. Step 3: Cross multiply
    687.54x = 1,030.58 × 225.20
  4. Step 4: Simplify right side
    687.54x = 232,084.38
  5. Step 5: Solve for x
    x = 232,084.38/687.54
  6. Step 6: Final answer
    x = 337.56

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