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Finding the Fourth Proportional to 594.47, 820.38 and 345.82

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Solution

The fourth proportional to 594.47, 820.38 and 345.82 is: 477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.47 : 820.38 = 345.82 : x
  2. Step 2: Convert to fraction form
    594.47/820.38 = 345.82/x
  3. Step 3: Cross multiply
    594.47x = 820.38 × 345.82
  4. Step 4: Simplify right side
    594.47x = 283,703.81
  5. Step 5: Solve for x
    x = 283,703.81/594.47
  6. Step 6: Final answer
    x = 477.24

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Double scale
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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.