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Finding the Fourth Proportional to 594.24, 820 and 345.64

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Solution

The fourth proportional to 594.24, 820 and 345.64 is: 476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.24 : 820 = 345.64 : x
  2. Step 2: Convert to fraction form
    594.24/820 = 345.64/x
  3. Step 3: Cross multiply
    594.24x = 820 × 345.64
  4. Step 4: Simplify right side
    594.24x = 283,424.80
  5. Step 5: Solve for x
    x = 283,424.80/594.24
  6. Step 6: Final answer
    x = 476.95

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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.