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Finding the Fourth Proportional to 556.52, 835.16 and 419.92

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Solution

The fourth proportional to 556.52, 835.16 and 419.92 is: 630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.52 : 835.16 = 419.92 : x
  2. Step 2: Convert to fraction form
    556.52/835.16 = 419.92/x
  3. Step 3: Cross multiply
    556.52x = 835.16 × 419.92
  4. Step 4: Simplify right side
    556.52x = 350,700.39
  5. Step 5: Solve for x
    x = 350,700.39/556.52
  6. Step 6: Final answer
    x = 630.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.