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Finding the Fourth Proportional to 692.90, 949.71 and 688.10

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Solution

The fourth proportional to 692.90, 949.71 and 688.10 is: 943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.90 : 949.71 = 688.10 : x
  2. Step 2: Convert to fraction form
    692.90/949.71 = 688.10/x
  3. Step 3: Cross multiply
    692.90x = 949.71 × 688.10
  4. Step 4: Simplify right side
    692.90x = 653,492.01
  5. Step 5: Solve for x
    x = 653,492.01/692.90
  6. Step 6: Final answer
    x = 943.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.