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Finding the Fourth Proportional to 504.63, 696.06 and 317.93

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Solution

The fourth proportional to 504.63, 696.06 and 317.93 is: 438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.63 : 696.06 = 317.93 : x
  2. Step 2: Convert to fraction form
    504.63/696.06 = 317.93/x
  3. Step 3: Cross multiply
    504.63x = 696.06 × 317.93
  4. Step 4: Simplify right side
    504.63x = 221,294.88
  5. Step 5: Solve for x
    x = 221,294.88/504.63
  6. Step 6: Final answer
    x = 438.53

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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.