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Finding the Fourth Proportional to 507.89, 699.39 and 497.58

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Solution

The fourth proportional to 507.89, 699.39 and 497.58 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.89 : 699.39 = 497.58 : x
  2. Step 2: Convert to fraction form
    507.89/699.39 = 497.58/x
  3. Step 3: Cross multiply
    507.89x = 699.39 × 497.58
  4. Step 4: Simplify right side
    507.89x = 348,002.48
  5. Step 5: Solve for x
    x = 348,002.48/507.89
  6. Step 6: Final answer
    x = 685.20

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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.