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Finding the Fourth Proportional to 1,043.42, 1,440.09 and 623.64

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Solution

The fourth proportional to 1,043.42, 1,440.09 and 623.64 is: 860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.42 : 1,440.09 = 623.64 : x
  2. Step 2: Convert to fraction form
    1,043.42/1,440.09 = 623.64/x
  3. Step 3: Cross multiply
    1,043.42x = 1,440.09 × 623.64
  4. Step 4: Simplify right side
    1,043.42x = 898,094.61
  5. Step 5: Solve for x
    x = 898,094.61/1,043.42
  6. Step 6: Final answer
    x = 860.72

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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.