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Finding the Fourth Proportional to 776.33, 1,164.34 and 497.86

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Solution

The fourth proportional to 776.33, 1,164.34 and 497.86 is: 746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.33 : 1,164.34 = 497.86 : x
  2. Step 2: Convert to fraction form
    776.33/1,164.34 = 497.86/x
  3. Step 3: Cross multiply
    776.33x = 1,164.34 × 497.86
  4. Step 4: Simplify right side
    776.33x = 579,678.31
  5. Step 5: Solve for x
    x = 579,678.31/776.33
  6. Step 6: Final answer
    x = 746.69

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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.