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Finding the Fourth Proportional to 593.69, 819.40 and 345.09

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Solution

The fourth proportional to 593.69, 819.40 and 345.09 is: 476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.69 : 819.40 = 345.09 : x
  2. Step 2: Convert to fraction form
    593.69/819.40 = 345.09/x
  3. Step 3: Cross multiply
    593.69x = 819.40 × 345.09
  4. Step 4: Simplify right side
    593.69x = 282,766.75
  5. Step 5: Solve for x
    x = 282,766.75/593.69
  6. Step 6: Final answer
    x = 476.29

Related Problems

Find fourth proportional to 296.85, 409.70 and 172.55
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.