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Finding the Fourth Proportional to 589.71, 814.14 and 393.69

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Solution

The fourth proportional to 589.71, 814.14 and 393.69 is: 543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.71 : 814.14 = 393.69 : x
  2. Step 2: Convert to fraction form
    589.71/814.14 = 393.69/x
  3. Step 3: Cross multiply
    589.71x = 814.14 × 393.69
  4. Step 4: Simplify right side
    589.71x = 320,518.78
  5. Step 5: Solve for x
    x = 320,518.78/589.71
  6. Step 6: Final answer
    x = 543.52

Related Problems

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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.