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Finding the Fourth Proportional to 1,134.79, 1,566.49 and 692.85

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Solution

The fourth proportional to 1,134.79, 1,566.49 and 692.85 is: 956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.79 : 1,566.49 = 692.85 : x
  2. Step 2: Convert to fraction form
    1,134.79/1,566.49 = 692.85/x
  3. Step 3: Cross multiply
    1,134.79x = 1,566.49 × 692.85
  4. Step 4: Simplify right side
    1,134.79x = 1,085,342.60
  5. Step 5: Solve for x
    x = 1,085,342.60/1,134.79
  6. Step 6: Final answer
    x = 956.43

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Half scale
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Double scale
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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.