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Finding the Fourth Proportional to 594.37, 820.27 and 345.77

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Solution

The fourth proportional to 594.37, 820.27 and 345.77 is: 477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.37 : 820.27 = 345.77 : x
  2. Step 2: Convert to fraction form
    594.37/820.27 = 345.77/x
  3. Step 3: Cross multiply
    594.37x = 820.27 × 345.77
  4. Step 4: Simplify right side
    594.37x = 283,624.76
  5. Step 5: Solve for x
    x = 283,624.76/594.37
  6. Step 6: Final answer
    x = 477.19

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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.