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Finding the Fourth Proportional to 503.57, 695.33 and 398.57

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Solution

The fourth proportional to 503.57, 695.33 and 398.57 is: 550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.57 : 695.33 = 398.57 : x
  2. Step 2: Convert to fraction form
    503.57/695.33 = 398.57/x
  3. Step 3: Cross multiply
    503.57x = 695.33 × 398.57
  4. Step 4: Simplify right side
    503.57x = 277,132.21
  5. Step 5: Solve for x
    x = 277,132.21/503.57
  6. Step 6: Final answer
    x = 550.34

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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.