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Finding the Fourth Proportional to 556.06, 767.23 and 334.93

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Solution

The fourth proportional to 556.06, 767.23 and 334.93 is: 462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.06 : 767.23 = 334.93 : x
  2. Step 2: Convert to fraction form
    556.06/767.23 = 334.93/x
  3. Step 3: Cross multiply
    556.06x = 767.23 × 334.93
  4. Step 4: Simplify right side
    556.06x = 256,968.34
  5. Step 5: Solve for x
    x = 256,968.34/556.06
  6. Step 6: Final answer
    x = 462.12

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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.