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Finding the Fourth Proportional to 1,357.46, 1,872.35 and 832.58

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Solution

The fourth proportional to 1,357.46, 1,872.35 and 832.58 is: 1,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.46 : 1,872.35 = 832.58 : x
  2. Step 2: Convert to fraction form
    1,357.46/1,872.35 = 832.58/x
  3. Step 3: Cross multiply
    1,357.46x = 1,872.35 × 832.58
  4. Step 4: Simplify right side
    1,357.46x = 1,558,881.16
  5. Step 5: Solve for x
    x = 1,558,881.16/1,357.46
  6. Step 6: Final answer
    x = 1,148.38

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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.