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Finding the Fourth Proportional to 1,152, 1,589.76 and 686.25

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Solution

The fourth proportional to 1,152, 1,589.76 and 686.25 is: 947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152 : 1,589.76 = 686.25 : x
  2. Step 2: Convert to fraction form
    1,152/1,589.76 = 686.25/x
  3. Step 3: Cross multiply
    1,152x = 1,589.76 × 686.25
  4. Step 4: Simplify right side
    1,152x = 1,090,972.80
  5. Step 5: Solve for x
    x = 1,090,972.80/1,152
  6. Step 6: Final answer
    x = 947.03

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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.