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Finding the Fourth Proportional to 556.72, 767.90 and 357.59

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Solution

The fourth proportional to 556.72, 767.90 and 357.59 is: 493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.72 : 767.90 = 357.59 : x
  2. Step 2: Convert to fraction form
    556.72/767.90 = 357.59/x
  3. Step 3: Cross multiply
    556.72x = 767.90 × 357.59
  4. Step 4: Simplify right side
    556.72x = 274,596.17
  5. Step 5: Solve for x
    x = 274,596.17/556.72
  6. Step 6: Final answer
    x = 493.24

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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.