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Finding the Fourth Proportional to 556.77, 767.84 and 478.06

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Solution

The fourth proportional to 556.77, 767.84 and 478.06 is: 659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.77 : 767.84 = 478.06 : x
  2. Step 2: Convert to fraction form
    556.77/767.84 = 478.06/x
  3. Step 3: Cross multiply
    556.77x = 767.84 × 478.06
  4. Step 4: Simplify right side
    556.77x = 367,072.16
  5. Step 5: Solve for x
    x = 367,072.16/556.77
  6. Step 6: Final answer
    x = 659.29

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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.