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Finding the Fourth Proportional to 509.16, 701.46 and 469.56

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Solution

The fourth proportional to 509.16, 701.46 and 469.56 is: 646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.16 : 701.46 = 469.56 : x
  2. Step 2: Convert to fraction form
    509.16/701.46 = 469.56/x
  3. Step 3: Cross multiply
    509.16x = 701.46 × 469.56
  4. Step 4: Simplify right side
    509.16x = 329,377.56
  5. Step 5: Solve for x
    x = 329,377.56/509.16
  6. Step 6: Final answer
    x = 646.90

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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.