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Finding the Fourth Proportional to 504.02, 695.71 and 317.82

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Solution

The fourth proportional to 504.02, 695.71 and 317.82 is: 438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.02 : 695.71 = 317.82 : x
  2. Step 2: Convert to fraction form
    504.02/695.71 = 317.82/x
  3. Step 3: Cross multiply
    504.02x = 695.71 × 317.82
  4. Step 4: Simplify right side
    504.02x = 221,107.07
  5. Step 5: Solve for x
    x = 221,107.07/504.02
  6. Step 6: Final answer
    x = 438.69

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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.