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Finding the Fourth Proportional to 1,632.07, 2,447.88 and 521.62

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Solution

The fourth proportional to 1,632.07, 2,447.88 and 521.62 is: 782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.07 : 2,447.88 = 521.62 : x
  2. Step 2: Convert to fraction form
    1,632.07/2,447.88 = 521.62/x
  3. Step 3: Cross multiply
    1,632.07x = 2,447.88 × 521.62
  4. Step 4: Simplify right side
    1,632.07x = 1,276,848.32
  5. Step 5: Solve for x
    x = 1,276,848.32/1,632.07
  6. Step 6: Final answer
    x = 782.35

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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.