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Finding the Fourth Proportional to 508.05, 699.29 and 424.21

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Solution

The fourth proportional to 508.05, 699.29 and 424.21 is: 583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.05 : 699.29 = 424.21 : x
  2. Step 2: Convert to fraction form
    508.05/699.29 = 424.21/x
  3. Step 3: Cross multiply
    508.05x = 699.29 × 424.21
  4. Step 4: Simplify right side
    508.05x = 296,645.81
  5. Step 5: Solve for x
    x = 296,645.81/508.05
  6. Step 6: Final answer
    x = 583.89

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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.