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Finding the Fourth Proportional to 556.39, 767.63 and 346.40

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Solution

The fourth proportional to 556.39, 767.63 and 346.40 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.39 : 767.63 = 346.40 : x
  2. Step 2: Convert to fraction form
    556.39/767.63 = 346.40/x
  3. Step 3: Cross multiply
    556.39x = 767.63 × 346.40
  4. Step 4: Simplify right side
    556.39x = 265,903.45
  5. Step 5: Solve for x
    x = 265,903.45/556.39
  6. Step 6: Final answer
    x = 477.91

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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.