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Finding the Fourth Proportional to 500.50, 692.13 and 477.58

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Solution

The fourth proportional to 500.50, 692.13 and 477.58 is: 660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 692.13 = 477.58 : x
  2. Step 2: Convert to fraction form
    500.50/692.13 = 477.58/x
  3. Step 3: Cross multiply
    500.50x = 692.13 × 477.58
  4. Step 4: Simplify right side
    500.50x = 330,547.45
  5. Step 5: Solve for x
    x = 330,547.45/500.50
  6. Step 6: Final answer
    x = 660.43

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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.