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Finding the Fourth Proportional to 594.30, 820.24 and 345.72

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Solution

The fourth proportional to 594.30, 820.24 and 345.72 is: 477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.30 : 820.24 = 345.72 : x
  2. Step 2: Convert to fraction form
    594.30/820.24 = 345.72/x
  3. Step 3: Cross multiply
    594.30x = 820.24 × 345.72
  4. Step 4: Simplify right side
    594.30x = 283,573.37
  5. Step 5: Solve for x
    x = 283,573.37/594.30
  6. Step 6: Final answer
    x = 477.16

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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.