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Finding the Fourth Proportional to 666.20, 916.98 and 491.24

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Solution

The fourth proportional to 666.20, 916.98 and 491.24 is: 676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.20 : 916.98 = 491.24 : x
  2. Step 2: Convert to fraction form
    666.20/916.98 = 491.24/x
  3. Step 3: Cross multiply
    666.20x = 916.98 × 491.24
  4. Step 4: Simplify right side
    666.20x = 450,457.26
  5. Step 5: Solve for x
    x = 450,457.26/666.20
  6. Step 6: Final answer
    x = 676.16

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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.