Home / 1,506.89-2,260.58-532.78

Finding the Fourth Proportional to 1,506.89, 2,260.58 and 532.78

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Solution

The fourth proportional to 1,506.89, 2,260.58 and 532.78 is: 799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.89 : 2,260.58 = 532.78 : x
  2. Step 2: Convert to fraction form
    1,506.89/2,260.58 = 532.78/x
  3. Step 3: Cross multiply
    1,506.89x = 2,260.58 × 532.78
  4. Step 4: Simplify right side
    1,506.89x = 1,204,383.50
  5. Step 5: Solve for x
    x = 1,204,383.50/1,506.89
  6. Step 6: Final answer
    x = 799.25

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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.