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Finding the Fourth Proportional to 851.70, 1,175.17 and 502.19

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Solution

The fourth proportional to 851.70, 1,175.17 and 502.19 is: 692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.70 : 1,175.17 = 502.19 : x
  2. Step 2: Convert to fraction form
    851.70/1,175.17 = 502.19/x
  3. Step 3: Cross multiply
    851.70x = 1,175.17 × 502.19
  4. Step 4: Simplify right side
    851.70x = 590,158.62
  5. Step 5: Solve for x
    x = 590,158.62/851.70
  6. Step 6: Final answer
    x = 692.92

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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.