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Finding the Fourth Proportional to 1,035.54, 1,553.28 and 255.54

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Solution

The fourth proportional to 1,035.54, 1,553.28 and 255.54 is: 383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.54 : 1,553.28 = 255.54 : x
  2. Step 2: Convert to fraction form
    1,035.54/1,553.28 = 255.54/x
  3. Step 3: Cross multiply
    1,035.54x = 1,553.28 × 255.54
  4. Step 4: Simplify right side
    1,035.54x = 396,925.17
  5. Step 5: Solve for x
    x = 396,925.17/1,035.54
  6. Step 6: Final answer
    x = 383.30

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1.5x scale

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.