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Finding the Fourth Proportional to 692.84, 1,037.64 and 652.34

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Solution

The fourth proportional to 692.84, 1,037.64 and 652.34 is: 976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.84 : 1,037.64 = 652.34 : x
  2. Step 2: Convert to fraction form
    692.84/1,037.64 = 652.34/x
  3. Step 3: Cross multiply
    692.84x = 1,037.64 × 652.34
  4. Step 4: Simplify right side
    692.84x = 676,894.08
  5. Step 5: Solve for x
    x = 676,894.08/692.84
  6. Step 6: Final answer
    x = 976.98

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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.