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Finding the Fourth Proportional to 776.84, 1,071.71 and 514.40

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Solution

The fourth proportional to 776.84, 1,071.71 and 514.40 is: 709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.84 : 1,071.71 = 514.40 : x
  2. Step 2: Convert to fraction form
    776.84/1,071.71 = 514.40/x
  3. Step 3: Cross multiply
    776.84x = 1,071.71 × 514.40
  4. Step 4: Simplify right side
    776.84x = 551,279.69
  5. Step 5: Solve for x
    x = 551,279.69/776.84
  6. Step 6: Final answer
    x = 709.65

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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.