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Finding the Fourth Proportional to 504.20, 696.21 and 317.99

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Solution

The fourth proportional to 504.20, 696.21 and 317.99 is: 439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.20 : 696.21 = 317.99 : x
  2. Step 2: Convert to fraction form
    504.20/696.21 = 317.99/x
  3. Step 3: Cross multiply
    504.20x = 696.21 × 317.99
  4. Step 4: Simplify right side
    504.20x = 221,384.34
  5. Step 5: Solve for x
    x = 221,384.34/504.20
  6. Step 6: Final answer
    x = 439.08

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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.