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Finding the Fourth Proportional to 922.72, 1,384.08 and 840.64

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Solution

The fourth proportional to 922.72, 1,384.08 and 840.64 is: 1,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,384.08 = 840.64 : x
  2. Step 2: Convert to fraction form
    922.72/1,384.08 = 840.64/x
  3. Step 3: Cross multiply
    922.72x = 1,384.08 × 840.64
  4. Step 4: Simplify right side
    922.72x = 1,163,513.01
  5. Step 5: Solve for x
    x = 1,163,513.01/922.72
  6. Step 6: Final answer
    x = 1,260.96

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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.