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Finding the Fourth Proportional to 939.75, 1,407.80 and 692.50

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Solution

The fourth proportional to 939.75, 1,407.80 and 692.50 is: 1,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.75 : 1,407.80 = 692.50 : x
  2. Step 2: Convert to fraction form
    939.75/1,407.80 = 692.50/x
  3. Step 3: Cross multiply
    939.75x = 1,407.80 × 692.50
  4. Step 4: Simplify right side
    939.75x = 974,898.04
  5. Step 5: Solve for x
    x = 974,898.04/939.75
  6. Step 6: Final answer
    x = 1,037.41

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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.