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Finding the Fourth Proportional to 462.77, 692.94 and 339.65

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Solution

The fourth proportional to 462.77, 692.94 and 339.65 is: 508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.77 : 692.94 = 339.65 : x
  2. Step 2: Convert to fraction form
    462.77/692.94 = 339.65/x
  3. Step 3: Cross multiply
    462.77x = 692.94 × 339.65
  4. Step 4: Simplify right side
    462.77x = 235,357.07
  5. Step 5: Solve for x
    x = 235,357.07/462.77
  6. Step 6: Final answer
    x = 508.58

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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.