Home / 1,052.18-1,578.08-282.50

Finding the Fourth Proportional to 1,052.18, 1,578.08 and 282.50

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Solution

The fourth proportional to 1,052.18, 1,578.08 and 282.50 is: 423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.18 : 1,578.08 = 282.50 : x
  2. Step 2: Convert to fraction form
    1,052.18/1,578.08 = 282.50/x
  3. Step 3: Cross multiply
    1,052.18x = 1,578.08 × 282.50
  4. Step 4: Simplify right side
    1,052.18x = 445,807.60
  5. Step 5: Solve for x
    x = 445,807.60/1,052.18
  6. Step 6: Final answer
    x = 423.70

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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.