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Finding the Fourth Proportional to 589.39, 813.15 and 365.09

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Solution

The fourth proportional to 589.39, 813.15 and 365.09 is: 503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.39 : 813.15 = 365.09 : x
  2. Step 2: Convert to fraction form
    589.39/813.15 = 365.09/x
  3. Step 3: Cross multiply
    589.39x = 813.15 × 365.09
  4. Step 4: Simplify right side
    589.39x = 296,868.87
  5. Step 5: Solve for x
    x = 296,868.87/589.39
  6. Step 6: Final answer
    x = 503.69

Related Problems

Find fourth proportional to 294.69, 406.58 and 182.54
Half scale
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Double scale
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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.