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Finding the Fourth Proportional to 776.84, 1,072.50 and 515.08

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Solution

The fourth proportional to 776.84, 1,072.50 and 515.08 is: 711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.84 : 1,072.50 = 515.08 : x
  2. Step 2: Convert to fraction form
    776.84/1,072.50 = 515.08/x
  3. Step 3: Cross multiply
    776.84x = 1,072.50 × 515.08
  4. Step 4: Simplify right side
    776.84x = 552,423.30
  5. Step 5: Solve for x
    x = 552,423.30/776.84
  6. Step 6: Final answer
    x = 711.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.