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Finding the Fourth Proportional to 556.17, 767.76 and 390.33

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Solution

The fourth proportional to 556.17, 767.76 and 390.33 is: 538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.17 : 767.76 = 390.33 : x
  2. Step 2: Convert to fraction form
    556.17/767.76 = 390.33/x
  3. Step 3: Cross multiply
    556.17x = 767.76 × 390.33
  4. Step 4: Simplify right side
    556.17x = 299,679.76
  5. Step 5: Solve for x
    x = 299,679.76/556.17
  6. Step 6: Final answer
    x = 538.83

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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.