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Finding the Fourth Proportional to 1,015.49, 1,524.18 and 495.77

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Solution

The fourth proportional to 1,015.49, 1,524.18 and 495.77 is: 744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.49 : 1,524.18 = 495.77 : x
  2. Step 2: Convert to fraction form
    1,015.49/1,524.18 = 495.77/x
  3. Step 3: Cross multiply
    1,015.49x = 1,524.18 × 495.77
  4. Step 4: Simplify right side
    1,015.49x = 755,635.10
  5. Step 5: Solve for x
    x = 755,635.10/1,015.49
  6. Step 6: Final answer
    x = 744.11

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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.