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Finding the Fourth Proportional to 916.96, 1,372.88 and 499.00

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Solution

The fourth proportional to 916.96, 1,372.88 and 499.00 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.96 : 1,372.88 = 499.00 : x
  2. Step 2: Convert to fraction form
    916.96/1,372.88 = 499.00/x
  3. Step 3: Cross multiply
    916.96x = 1,372.88 × 499.00
  4. Step 4: Simplify right side
    916.96x = 685,057.76
  5. Step 5: Solve for x
    x = 685,057.76/916.96
  6. Step 6: Final answer
    x = 747.10

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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.