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Finding the Fourth Proportional to 936.53, 1,402.66 and 570.51

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Solution

The fourth proportional to 936.53, 1,402.66 and 570.51 is: 854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.53 : 1,402.66 = 570.51 : x
  2. Step 2: Convert to fraction form
    936.53/1,402.66 = 570.51/x
  3. Step 3: Cross multiply
    936.53x = 1,402.66 × 570.51
  4. Step 4: Simplify right side
    936.53x = 800,221.69
  5. Step 5: Solve for x
    x = 800,221.69/936.53
  6. Step 6: Final answer
    x = 854.46

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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.