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Finding the Fourth Proportional to 1,357.30, 1,873.14 and 859.76

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Solution

The fourth proportional to 1,357.30, 1,873.14 and 859.76 is: 1,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.30 : 1,873.14 = 859.76 : x
  2. Step 2: Convert to fraction form
    1,357.30/1,873.14 = 859.76/x
  3. Step 3: Cross multiply
    1,357.30x = 1,873.14 × 859.76
  4. Step 4: Simplify right side
    1,357.30x = 1,610,441.48
  5. Step 5: Solve for x
    x = 1,610,441.48/1,357.30
  6. Step 6: Final answer
    x = 1,186.51

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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.