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Finding the Fourth Proportional to 786.41, 1,177.77 and 462.01

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Solution

The fourth proportional to 786.41, 1,177.77 and 462.01 is: 691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.41 : 1,177.77 = 462.01 : x
  2. Step 2: Convert to fraction form
    786.41/1,177.77 = 462.01/x
  3. Step 3: Cross multiply
    786.41x = 1,177.77 × 462.01
  4. Step 4: Simplify right side
    786.41x = 544,142.51
  5. Step 5: Solve for x
    x = 544,142.51/786.41
  6. Step 6: Final answer
    x = 691.93

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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.