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Finding the Fourth Proportional to 916.20, 1,263.92 and 666.98

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Solution

The fourth proportional to 916.20, 1,263.92 and 666.98 is: 920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.20 : 1,263.92 = 666.98 : x
  2. Step 2: Convert to fraction form
    916.20/1,263.92 = 666.98/x
  3. Step 3: Cross multiply
    916.20x = 1,263.92 × 666.98
  4. Step 4: Simplify right side
    916.20x = 843,009.36
  5. Step 5: Solve for x
    x = 843,009.36/916.20
  6. Step 6: Final answer
    x = 920.11

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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.