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Finding the Fourth Proportional to 1,557.48, 2,336.97 and 633.69

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Solution

The fourth proportional to 1,557.48, 2,336.97 and 633.69 is: 950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.48 : 2,336.97 = 633.69 : x
  2. Step 2: Convert to fraction form
    1,557.48/2,336.97 = 633.69/x
  3. Step 3: Cross multiply
    1,557.48x = 2,336.97 × 633.69
  4. Step 4: Simplify right side
    1,557.48x = 1,480,914.52
  5. Step 5: Solve for x
    x = 1,480,914.52/1,557.48
  6. Step 6: Final answer
    x = 950.84

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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.