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Finding the Fourth Proportional to 507.24, 699.32 and 418.40

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Solution

The fourth proportional to 507.24, 699.32 and 418.40 is: 576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 699.32 = 418.40 : x
  2. Step 2: Convert to fraction form
    507.24/699.32 = 418.40/x
  3. Step 3: Cross multiply
    507.24x = 699.32 × 418.40
  4. Step 4: Simplify right side
    507.24x = 292,595.49
  5. Step 5: Solve for x
    x = 292,595.49/507.24
  6. Step 6: Final answer
    x = 576.84

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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.