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Finding the Fourth Proportional to 784.37, 1,082.88 and 586.29

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Solution

The fourth proportional to 784.37, 1,082.88 and 586.29 is: 809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.37 : 1,082.88 = 586.29 : x
  2. Step 2: Convert to fraction form
    784.37/1,082.88 = 586.29/x
  3. Step 3: Cross multiply
    784.37x = 1,082.88 × 586.29
  4. Step 4: Simplify right side
    784.37x = 634,881.72
  5. Step 5: Solve for x
    x = 634,881.72/784.37
  6. Step 6: Final answer
    x = 809.42

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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.