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Finding the Fourth Proportional to 1,607.56, 2,411.43 and 633.64

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Solution

The fourth proportional to 1,607.56, 2,411.43 and 633.64 is: 950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.56 : 2,411.43 = 633.64 : x
  2. Step 2: Convert to fraction form
    1,607.56/2,411.43 = 633.64/x
  3. Step 3: Cross multiply
    1,607.56x = 2,411.43 × 633.64
  4. Step 4: Simplify right side
    1,607.56x = 1,527,978.51
  5. Step 5: Solve for x
    x = 1,527,978.51/1,607.56
  6. Step 6: Final answer
    x = 950.50

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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.