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Finding the Fourth Proportional to 595.95, 821.99 and 419.28

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Solution

The fourth proportional to 595.95, 821.99 and 419.28 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.95 : 821.99 = 419.28 : x
  2. Step 2: Convert to fraction form
    595.95/821.99 = 419.28/x
  3. Step 3: Cross multiply
    595.95x = 821.99 × 419.28
  4. Step 4: Simplify right side
    595.95x = 344,641.93
  5. Step 5: Solve for x
    x = 344,641.93/595.95
  6. Step 6: Final answer
    x = 578.31

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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.