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Finding the Fourth Proportional to 595.49, 821.49 and 385.70

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Solution

The fourth proportional to 595.49, 821.49 and 385.70 is: 532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.49 : 821.49 = 385.70 : x
  2. Step 2: Convert to fraction form
    595.49/821.49 = 385.70/x
  3. Step 3: Cross multiply
    595.49x = 821.49 × 385.70
  4. Step 4: Simplify right side
    595.49x = 316,848.69
  5. Step 5: Solve for x
    x = 316,848.69/595.49
  6. Step 6: Final answer
    x = 532.08

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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.