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Finding the Fourth Proportional to 776.35, 1,164.51 and 538.68

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Solution

The fourth proportional to 776.35, 1,164.51 and 538.68 is: 808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.35 : 1,164.51 = 538.68 : x
  2. Step 2: Convert to fraction form
    776.35/1,164.51 = 538.68/x
  3. Step 3: Cross multiply
    776.35x = 1,164.51 × 538.68
  4. Step 4: Simplify right side
    776.35x = 627,298.25
  5. Step 5: Solve for x
    x = 627,298.25/776.35
  6. Step 6: Final answer
    x = 808.01

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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.