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Finding the Fourth Proportional to 491.37, 736.13 and 462.77

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Solution

The fourth proportional to 491.37, 736.13 and 462.77 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.37 : 736.13 = 462.77 : x
  2. Step 2: Convert to fraction form
    491.37/736.13 = 462.77/x
  3. Step 3: Cross multiply
    491.37x = 736.13 × 462.77
  4. Step 4: Simplify right side
    491.37x = 340,656.57
  5. Step 5: Solve for x
    x = 340,656.57/491.37
  6. Step 6: Final answer
    x = 693.28

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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.