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Finding the Fourth Proportional to 786.26, 1,178.68 and 507.86

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Solution

The fourth proportional to 786.26, 1,178.68 and 507.86 is: 761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.26 : 1,178.68 = 507.86 : x
  2. Step 2: Convert to fraction form
    786.26/1,178.68 = 507.86/x
  3. Step 3: Cross multiply
    786.26x = 1,178.68 × 507.86
  4. Step 4: Simplify right side
    786.26x = 598,606.10
  5. Step 5: Solve for x
    x = 598,606.10/786.26
  6. Step 6: Final answer
    x = 761.33

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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.