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Finding the Fourth Proportional to 1,164.19, 1,606.57 and 633.07

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Solution

The fourth proportional to 1,164.19, 1,606.57 and 633.07 is: 873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.19 : 1,606.57 = 633.07 : x
  2. Step 2: Convert to fraction form
    1,164.19/1,606.57 = 633.07/x
  3. Step 3: Cross multiply
    1,164.19x = 1,606.57 × 633.07
  4. Step 4: Simplify right side
    1,164.19x = 1,017,060.07
  5. Step 5: Solve for x
    x = 1,017,060.07/1,164.19
  6. Step 6: Final answer
    x = 873.62

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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.