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Finding the Fourth Proportional to 593.78, 819.41 and 345.24

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Solution

The fourth proportional to 593.78, 819.41 and 345.24 is: 476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.78 : 819.41 = 345.24 : x
  2. Step 2: Convert to fraction form
    593.78/819.41 = 345.24/x
  3. Step 3: Cross multiply
    593.78x = 819.41 × 345.24
  4. Step 4: Simplify right side
    593.78x = 282,891.38
  5. Step 5: Solve for x
    x = 282,891.38/593.78
  6. Step 6: Final answer
    x = 476.43

Related Problems

Find fourth proportional to 296.89, 409.70 and 172.62
Half scale
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Double scale
Find fourth proportional to 594.78, 820.78 and 346.24
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.