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Finding the Fourth Proportional to 615.06, 916.92 and 584.28

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Solution

The fourth proportional to 615.06, 916.92 and 584.28 is: 871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.06 : 916.92 = 584.28 : x
  2. Step 2: Convert to fraction form
    615.06/916.92 = 584.28/x
  3. Step 3: Cross multiply
    615.06x = 916.92 × 584.28
  4. Step 4: Simplify right side
    615.06x = 535,738.02
  5. Step 5: Solve for x
    x = 535,738.02/615.06
  6. Step 6: Final answer
    x = 871.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.