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Finding the Fourth Proportional to 1,158.62, 1,598.89 and 634.64

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Solution

The fourth proportional to 1,158.62, 1,598.89 and 634.64 is: 875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.62 : 1,598.89 = 634.64 : x
  2. Step 2: Convert to fraction form
    1,158.62/1,598.89 = 634.64/x
  3. Step 3: Cross multiply
    1,158.62x = 1,598.89 × 634.64
  4. Step 4: Simplify right side
    1,158.62x = 1,014,721.96
  5. Step 5: Solve for x
    x = 1,014,721.96/1,158.62
  6. Step 6: Final answer
    x = 875.81

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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.