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Finding the Fourth Proportional to 594.86, 820.70 and 358.77

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Solution

The fourth proportional to 594.86, 820.70 and 358.77 is: 494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.86 : 820.70 = 358.77 : x
  2. Step 2: Convert to fraction form
    594.86/820.70 = 358.77/x
  3. Step 3: Cross multiply
    594.86x = 820.70 × 358.77
  4. Step 4: Simplify right side
    594.86x = 294,443.44
  5. Step 5: Solve for x
    x = 294,443.44/594.86
  6. Step 6: Final answer
    x = 494.98

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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.