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Finding the Fourth Proportional to 491.72, 734.49 and 360.56

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Solution

The fourth proportional to 491.72, 734.49 and 360.56 is: 538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 734.49 = 360.56 : x
  2. Step 2: Convert to fraction form
    491.72/734.49 = 360.56/x
  3. Step 3: Cross multiply
    491.72x = 734.49 × 360.56
  4. Step 4: Simplify right side
    491.72x = 264,827.71
  5. Step 5: Solve for x
    x = 264,827.71/491.72
  6. Step 6: Final answer
    x = 538.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.