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Finding the Fourth Proportional to 776.09, 1,164.68 and 502.31

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Solution

The fourth proportional to 776.09, 1,164.68 and 502.31 is: 753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.09 : 1,164.68 = 502.31 : x
  2. Step 2: Convert to fraction form
    776.09/1,164.68 = 502.31/x
  3. Step 3: Cross multiply
    776.09x = 1,164.68 × 502.31
  4. Step 4: Simplify right side
    776.09x = 585,030.41
  5. Step 5: Solve for x
    x = 585,030.41/776.09
  6. Step 6: Final answer
    x = 753.82

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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.