Home / 1,524.32-2,285.56-598.78

Finding the Fourth Proportional to 1,524.32, 2,285.56 and 598.78

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Solution

The fourth proportional to 1,524.32, 2,285.56 and 598.78 is: 897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.32 : 2,285.56 = 598.78 : x
  2. Step 2: Convert to fraction form
    1,524.32/2,285.56 = 598.78/x
  3. Step 3: Cross multiply
    1,524.32x = 2,285.56 × 598.78
  4. Step 4: Simplify right side
    1,524.32x = 1,368,547.62
  5. Step 5: Solve for x
    x = 1,368,547.62/1,524.32
  6. Step 6: Final answer
    x = 897.81

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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.