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Finding the Fourth Proportional to 1,357.42, 2,036.25 and 383.53

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Solution

The fourth proportional to 1,357.42, 2,036.25 and 383.53 is: 575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.42 : 2,036.25 = 383.53 : x
  2. Step 2: Convert to fraction form
    1,357.42/2,036.25 = 383.53/x
  3. Step 3: Cross multiply
    1,357.42x = 2,036.25 × 383.53
  4. Step 4: Simplify right side
    1,357.42x = 780,962.96
  5. Step 5: Solve for x
    x = 780,962.96/1,357.42
  6. Step 6: Final answer
    x = 575.33

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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.