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Finding the Fourth Proportional to 507.84, 765.62 and 472.60

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Solution

The fourth proportional to 507.84, 765.62 and 472.60 is: 712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 765.62 = 472.60 : x
  2. Step 2: Convert to fraction form
    507.84/765.62 = 472.60/x
  3. Step 3: Cross multiply
    507.84x = 765.62 × 472.60
  4. Step 4: Simplify right side
    507.84x = 361,832.38
  5. Step 5: Solve for x
    x = 361,832.38/507.84
  6. Step 6: Final answer
    x = 712.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.