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Finding the Fourth Proportional to 786.84, 1,085.93 and 517.89

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Solution

The fourth proportional to 786.84, 1,085.93 and 517.89 is: 714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.84 : 1,085.93 = 517.89 : x
  2. Step 2: Convert to fraction form
    786.84/1,085.93 = 517.89/x
  3. Step 3: Cross multiply
    786.84x = 1,085.93 × 517.89
  4. Step 4: Simplify right side
    786.84x = 562,392.29
  5. Step 5: Solve for x
    x = 562,392.29/786.84
  6. Step 6: Final answer
    x = 714.75

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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.