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Finding the Fourth Proportional to 557.30, 834.52 and 465.77

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Solution

The fourth proportional to 557.30, 834.52 and 465.77 is: 697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.30 : 834.52 = 465.77 : x
  2. Step 2: Convert to fraction form
    557.30/834.52 = 465.77/x
  3. Step 3: Cross multiply
    557.30x = 834.52 × 465.77
  4. Step 4: Simplify right side
    557.30x = 388,694.38
  5. Step 5: Solve for x
    x = 388,694.38/557.30
  6. Step 6: Final answer
    x = 697.46

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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.