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Finding the Fourth Proportional to 692.50, 1,033.73 and 646.40

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Solution

The fourth proportional to 692.50, 1,033.73 and 646.40 is: 964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.50 : 1,033.73 = 646.40 : x
  2. Step 2: Convert to fraction form
    692.50/1,033.73 = 646.40/x
  3. Step 3: Cross multiply
    692.50x = 1,033.73 × 646.40
  4. Step 4: Simplify right side
    692.50x = 668,203.07
  5. Step 5: Solve for x
    x = 668,203.07/692.50
  6. Step 6: Final answer
    x = 964.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.