Home / 1,521.34-2,281.80-596.25

Finding the Fourth Proportional to 1,521.34, 2,281.80 and 596.25

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Solution

The fourth proportional to 1,521.34, 2,281.80 and 596.25 is: 894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.34 : 2,281.80 = 596.25 : x
  2. Step 2: Convert to fraction form
    1,521.34/2,281.80 = 596.25/x
  3. Step 3: Cross multiply
    1,521.34x = 2,281.80 × 596.25
  4. Step 4: Simplify right side
    1,521.34x = 1,360,523.25
  5. Step 5: Solve for x
    x = 1,360,523.25/1,521.34
  6. Step 6: Final answer
    x = 894.29

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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.