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Finding the Fourth Proportional to 692.75, 953.27 and 565.58

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Solution

The fourth proportional to 692.75, 953.27 and 565.58 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 953.27 = 565.58 : x
  2. Step 2: Convert to fraction form
    692.75/953.27 = 565.58/x
  3. Step 3: Cross multiply
    692.75x = 953.27 × 565.58
  4. Step 4: Simplify right side
    692.75x = 539,152.12
  5. Step 5: Solve for x
    x = 539,152.12/692.75
  6. Step 6: Final answer
    x = 778.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.