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Finding the Fourth Proportional to 500.80, 692.40 and 346.72

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Solution

The fourth proportional to 500.80, 692.40 and 346.72 is: 479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.80 : 692.40 = 346.72 : x
  2. Step 2: Convert to fraction form
    500.80/692.40 = 346.72/x
  3. Step 3: Cross multiply
    500.80x = 692.40 × 346.72
  4. Step 4: Simplify right side
    500.80x = 240,068.93
  5. Step 5: Solve for x
    x = 240,068.93/500.80
  6. Step 6: Final answer
    x = 479.37

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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.