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Finding the Fourth Proportional to 475.61, 713.66 and 360.02

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Solution

The fourth proportional to 475.61, 713.66 and 360.02 is: 540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.61 : 713.66 = 360.02 : x
  2. Step 2: Convert to fraction form
    475.61/713.66 = 360.02/x
  3. Step 3: Cross multiply
    475.61x = 713.66 × 360.02
  4. Step 4: Simplify right side
    475.61x = 256,929.87
  5. Step 5: Solve for x
    x = 256,929.87/475.61
  6. Step 6: Final answer
    x = 540.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.