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Finding the Fourth Proportional to 786.29, 1,177.63 and 456.41

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Solution

The fourth proportional to 786.29, 1,177.63 and 456.41 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.29 : 1,177.63 = 456.41 : x
  2. Step 2: Convert to fraction form
    786.29/1,177.63 = 456.41/x
  3. Step 3: Cross multiply
    786.29x = 1,177.63 × 456.41
  4. Step 4: Simplify right side
    786.29x = 537,483.91
  5. Step 5: Solve for x
    x = 537,483.91/786.29
  6. Step 6: Final answer
    x = 683.57

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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.