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Finding the Fourth Proportional to 491.01, 735.36 and 486.87

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Solution

The fourth proportional to 491.01, 735.36 and 486.87 is: 729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.01 : 735.36 = 486.87 : x
  2. Step 2: Convert to fraction form
    491.01/735.36 = 486.87/x
  3. Step 3: Cross multiply
    491.01x = 735.36 × 486.87
  4. Step 4: Simplify right side
    491.01x = 358,024.72
  5. Step 5: Solve for x
    x = 358,024.72/491.01
  6. Step 6: Final answer
    x = 729.16

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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.