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Finding the Fourth Proportional to 778.80, 1,167.64 and 505.02

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Solution

The fourth proportional to 778.80, 1,167.64 and 505.02 is: 757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.80 : 1,167.64 = 505.02 : x
  2. Step 2: Convert to fraction form
    778.80/1,167.64 = 505.02/x
  3. Step 3: Cross multiply
    778.80x = 1,167.64 × 505.02
  4. Step 4: Simplify right side
    778.80x = 589,681.55
  5. Step 5: Solve for x
    x = 589,681.55/778.80
  6. Step 6: Final answer
    x = 757.17

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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.