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Finding the Fourth Proportional to 595.68, 819.36 and 508.20

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Solution

The fourth proportional to 595.68, 819.36 and 508.20 is: 699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 819.36 = 508.20 : x
  2. Step 2: Convert to fraction form
    595.68/819.36 = 508.20/x
  3. Step 3: Cross multiply
    595.68x = 819.36 × 508.20
  4. Step 4: Simplify right side
    595.68x = 416,398.75
  5. Step 5: Solve for x
    x = 416,398.75/595.68
  6. Step 6: Final answer
    x = 699.03

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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.