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Finding the Fourth Proportional to 776.71, 1,164.52 and 502.93

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Solution

The fourth proportional to 776.71, 1,164.52 and 502.93 is: 754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.71 : 1,164.52 = 502.93 : x
  2. Step 2: Convert to fraction form
    776.71/1,164.52 = 502.93/x
  3. Step 3: Cross multiply
    776.71x = 1,164.52 × 502.93
  4. Step 4: Simplify right side
    776.71x = 585,672.04
  5. Step 5: Solve for x
    x = 585,672.04/776.71
  6. Step 6: Final answer
    x = 754.04

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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.