Home / 1,521.14-2,281.62-546.98

Finding the Fourth Proportional to 1,521.14, 2,281.62 and 546.98

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Solution

The fourth proportional to 1,521.14, 2,281.62 and 546.98 is: 820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.14 : 2,281.62 = 546.98 : x
  2. Step 2: Convert to fraction form
    1,521.14/2,281.62 = 546.98/x
  3. Step 3: Cross multiply
    1,521.14x = 2,281.62 × 546.98
  4. Step 4: Simplify right side
    1,521.14x = 1,248,000.51
  5. Step 5: Solve for x
    x = 1,248,000.51/1,521.14
  6. Step 6: Final answer
    x = 820.44

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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.