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Finding the Fourth Proportional to 504.07, 695.49 and 317.65

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Solution

The fourth proportional to 504.07, 695.49 and 317.65 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.07 : 695.49 = 317.65 : x
  2. Step 2: Convert to fraction form
    504.07/695.49 = 317.65/x
  3. Step 3: Cross multiply
    504.07x = 695.49 × 317.65
  4. Step 4: Simplify right side
    504.07x = 220,922.40
  5. Step 5: Solve for x
    x = 220,922.40/504.07
  6. Step 6: Final answer
    x = 438.28

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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.