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Finding the Fourth Proportional to 556.89, 832.28 and 513.11

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Solution

The fourth proportional to 556.89, 832.28 and 513.11 is: 766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.89 : 832.28 = 513.11 : x
  2. Step 2: Convert to fraction form
    556.89/832.28 = 513.11/x
  3. Step 3: Cross multiply
    556.89x = 832.28 × 513.11
  4. Step 4: Simplify right side
    556.89x = 427,044.46
  5. Step 5: Solve for x
    x = 427,044.46/556.89
  6. Step 6: Final answer
    x = 766.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.