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Finding the Fourth Proportional to 1,035.34, 1,552.53 and 418.53

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Solution

The fourth proportional to 1,035.34, 1,552.53 and 418.53 is: 627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.34 : 1,552.53 = 418.53 : x
  2. Step 2: Convert to fraction form
    1,035.34/1,552.53 = 418.53/x
  3. Step 3: Cross multiply
    1,035.34x = 1,552.53 × 418.53
  4. Step 4: Simplify right side
    1,035.34x = 649,780.38
  5. Step 5: Solve for x
    x = 649,780.38/1,035.34
  6. Step 6: Final answer
    x = 627.60

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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.