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Finding the Fourth Proportional to 503.25, 694.48 and 282.19

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Solution

The fourth proportional to 503.25, 694.48 and 282.19 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.25 : 694.48 = 282.19 : x
  2. Step 2: Convert to fraction form
    503.25/694.48 = 282.19/x
  3. Step 3: Cross multiply
    503.25x = 694.48 × 282.19
  4. Step 4: Simplify right side
    503.25x = 195,972.87
  5. Step 5: Solve for x
    x = 195,972.87/503.25
  6. Step 6: Final answer
    x = 389.41

Related Problems

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Half scale
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Double scale
Find fourth proportional to 504.25, 695.86 and 283.19
Similar ratio
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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.