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Finding the Fourth Proportional to 1,547.63, 2,321.80 and 521.63

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Solution

The fourth proportional to 1,547.63, 2,321.80 and 521.63 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.63 : 2,321.80 = 521.63 : x
  2. Step 2: Convert to fraction form
    1,547.63/2,321.80 = 521.63/x
  3. Step 3: Cross multiply
    1,547.63x = 2,321.80 × 521.63
  4. Step 4: Simplify right side
    1,547.63x = 1,211,107.62
  5. Step 5: Solve for x
    x = 1,211,107.62/1,547.63
  6. Step 6: Final answer
    x = 782.56

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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.