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Finding the Fourth Proportional to 664.40, 916.72 and 499.01

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Solution

The fourth proportional to 664.40, 916.72 and 499.01 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 916.72 = 499.01 : x
  2. Step 2: Convert to fraction form
    664.40/916.72 = 499.01/x
  3. Step 3: Cross multiply
    664.40x = 916.72 × 499.01
  4. Step 4: Simplify right side
    664.40x = 457,451.77
  5. Step 5: Solve for x
    x = 457,451.77/664.40
  6. Step 6: Final answer
    x = 688.52

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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.