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Finding the Fourth Proportional to 503.74, 695.01 and 317.26

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Solution

The fourth proportional to 503.74, 695.01 and 317.26 is: 437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.74 : 695.01 = 317.26 : x
  2. Step 2: Convert to fraction form
    503.74/695.01 = 317.26/x
  3. Step 3: Cross multiply
    503.74x = 695.01 × 317.26
  4. Step 4: Simplify right side
    503.74x = 220,498.87
  5. Step 5: Solve for x
    x = 220,498.87/503.74
  6. Step 6: Final answer
    x = 437.72

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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.