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Finding the Fourth Proportional to 612.28, 916.59 and 590.41

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Solution

The fourth proportional to 612.28, 916.59 and 590.41 is: 883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.28 : 916.59 = 590.41 : x
  2. Step 2: Convert to fraction form
    612.28/916.59 = 590.41/x
  3. Step 3: Cross multiply
    612.28x = 916.59 × 590.41
  4. Step 4: Simplify right side
    612.28x = 541,163.82
  5. Step 5: Solve for x
    x = 541,163.82/612.28
  6. Step 6: Final answer
    x = 883.85

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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.