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Finding the Fourth Proportional to 462.04, 692.50 and 354.28

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Solution

The fourth proportional to 462.04, 692.50 and 354.28 is: 530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.04 : 692.50 = 354.28 : x
  2. Step 2: Convert to fraction form
    462.04/692.50 = 354.28/x
  3. Step 3: Cross multiply
    462.04x = 692.50 × 354.28
  4. Step 4: Simplify right side
    462.04x = 245,338.90
  5. Step 5: Solve for x
    x = 245,338.90/462.04
  6. Step 6: Final answer
    x = 530.99

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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.