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Finding the Fourth Proportional to 556.16, 766.14 and 425.12

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Solution

The fourth proportional to 556.16, 766.14 and 425.12 is: 585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.16 : 766.14 = 425.12 : x
  2. Step 2: Convert to fraction form
    556.16/766.14 = 425.12/x
  3. Step 3: Cross multiply
    556.16x = 766.14 × 425.12
  4. Step 4: Simplify right side
    556.16x = 325,701.44
  5. Step 5: Solve for x
    x = 325,701.44/556.16
  6. Step 6: Final answer
    x = 585.63

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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.