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Finding the Fourth Proportional to 557.12, 835.61 and 283.41

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Solution

The fourth proportional to 557.12, 835.61 and 283.41 is: 425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.12 : 835.61 = 283.41 : x
  2. Step 2: Convert to fraction form
    557.12/835.61 = 283.41/x
  3. Step 3: Cross multiply
    557.12x = 835.61 × 283.41
  4. Step 4: Simplify right side
    557.12x = 236,818.81
  5. Step 5: Solve for x
    x = 236,818.81/557.12
  6. Step 6: Final answer
    x = 425.08

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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.