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Finding the Fourth Proportional to 662.83, 916.47 and 580.84

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Solution

The fourth proportional to 662.83, 916.47 and 580.84 is: 803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.83 : 916.47 = 580.84 : x
  2. Step 2: Convert to fraction form
    662.83/916.47 = 580.84/x
  3. Step 3: Cross multiply
    662.83x = 916.47 × 580.84
  4. Step 4: Simplify right side
    662.83x = 532,322.43
  5. Step 5: Solve for x
    x = 532,322.43/662.83
  6. Step 6: Final answer
    x = 803.11

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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.