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Finding the Fourth Proportional to 1,125.35, 1,684.42 and 604.07

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Solution

The fourth proportional to 1,125.35, 1,684.42 and 604.07 is: 904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.35 : 1,684.42 = 604.07 : x
  2. Step 2: Convert to fraction form
    1,125.35/1,684.42 = 604.07/x
  3. Step 3: Cross multiply
    1,125.35x = 1,684.42 × 604.07
  4. Step 4: Simplify right side
    1,125.35x = 1,017,507.59
  5. Step 5: Solve for x
    x = 1,017,507.59/1,125.35
  6. Step 6: Final answer
    x = 904.17

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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.