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Finding the Fourth Proportional to 692.50, 1,036.14 and 624.26

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Solution

The fourth proportional to 692.50, 1,036.14 and 624.26 is: 934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.50 : 1,036.14 = 624.26 : x
  2. Step 2: Convert to fraction form
    692.50/1,036.14 = 624.26/x
  3. Step 3: Cross multiply
    692.50x = 1,036.14 × 624.26
  4. Step 4: Simplify right side
    692.50x = 646,818.69
  5. Step 5: Solve for x
    x = 646,818.69/692.50
  6. Step 6: Final answer
    x = 934.04

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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.