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Finding the Fourth Proportional to 556.46, 767.86 and 370.16

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Solution

The fourth proportional to 556.46, 767.86 and 370.16 is: 510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 767.86 = 370.16 : x
  2. Step 2: Convert to fraction form
    556.46/767.86 = 370.16/x
  3. Step 3: Cross multiply
    556.46x = 767.86 × 370.16
  4. Step 4: Simplify right side
    556.46x = 284,231.06
  5. Step 5: Solve for x
    x = 284,231.06/556.46
  6. Step 6: Final answer
    x = 510.78

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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.