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Finding the Fourth Proportional to 859.70, 1,187.50 and 755.14

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Solution

The fourth proportional to 859.70, 1,187.50 and 755.14 is: 1,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.70 : 1,187.50 = 755.14 : x
  2. Step 2: Convert to fraction form
    859.70/1,187.50 = 755.14/x
  3. Step 3: Cross multiply
    859.70x = 1,187.50 × 755.14
  4. Step 4: Simplify right side
    859.70x = 896,728.75
  5. Step 5: Solve for x
    x = 896,728.75/859.70
  6. Step 6: Final answer
    x = 1,043.08

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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.