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Finding the Fourth Proportional to 832.02, 1,237.82 and 782.80

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Solution

The fourth proportional to 832.02, 1,237.82 and 782.80 is: 1,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.02 : 1,237.82 = 782.80 : x
  2. Step 2: Convert to fraction form
    832.02/1,237.82 = 782.80/x
  3. Step 3: Cross multiply
    832.02x = 1,237.82 × 782.80
  4. Step 4: Simplify right side
    832.02x = 968,965.50
  5. Step 5: Solve for x
    x = 968,965.50/832.02
  6. Step 6: Final answer
    x = 1,164.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.