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Finding the Fourth Proportional to 509, 701.88 and 456.62

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Solution

The fourth proportional to 509, 701.88 and 456.62 is: 629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 701.88 = 456.62 : x
  2. Step 2: Convert to fraction form
    509/701.88 = 456.62/x
  3. Step 3: Cross multiply
    509x = 701.88 × 456.62
  4. Step 4: Simplify right side
    509x = 320,492.45
  5. Step 5: Solve for x
    x = 320,492.45/509
  6. Step 6: Final answer
    x = 629.65

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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.