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Finding the Fourth Proportional to 1,165.16, 1,607.90 and 634.04

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Solution

The fourth proportional to 1,165.16, 1,607.90 and 634.04 is: 874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.16 : 1,607.90 = 634.04 : x
  2. Step 2: Convert to fraction form
    1,165.16/1,607.90 = 634.04/x
  3. Step 3: Cross multiply
    1,165.16x = 1,607.90 × 634.04
  4. Step 4: Simplify right side
    1,165.16x = 1,019,467.74
  5. Step 5: Solve for x
    x = 1,019,467.74/1,165.16
  6. Step 6: Final answer
    x = 874.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.