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Finding the Fourth Proportional to 504.24, 696.12 and 317.76

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Solution

The fourth proportional to 504.24, 696.12 and 317.76 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 696.12 = 317.76 : x
  2. Step 2: Convert to fraction form
    504.24/696.12 = 317.76/x
  3. Step 3: Cross multiply
    504.24x = 696.12 × 317.76
  4. Step 4: Simplify right side
    504.24x = 221,199.09
  5. Step 5: Solve for x
    x = 221,199.09/504.24
  6. Step 6: Final answer
    x = 438.68

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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.