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Finding the Fourth Proportional to 507.66, 698.75 and 360.03

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Solution

The fourth proportional to 507.66, 698.75 and 360.03 is: 495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.66 : 698.75 = 360.03 : x
  2. Step 2: Convert to fraction form
    507.66/698.75 = 360.03/x
  3. Step 3: Cross multiply
    507.66x = 698.75 × 360.03
  4. Step 4: Simplify right side
    507.66x = 251,569.16
  5. Step 5: Solve for x
    x = 251,569.16/507.66
  6. Step 6: Final answer
    x = 495.55

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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.