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Finding the Fourth Proportional to 1,043.64, 1,440 and 601.47

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Solution

The fourth proportional to 1,043.64, 1,440 and 601.47 is: 829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.64 : 1,440 = 601.47 : x
  2. Step 2: Convert to fraction form
    1,043.64/1,440 = 601.47/x
  3. Step 3: Cross multiply
    1,043.64x = 1,440 × 601.47
  4. Step 4: Simplify right side
    1,043.64x = 866,116.80
  5. Step 5: Solve for x
    x = 866,116.80/1,043.64
  6. Step 6: Final answer
    x = 829.90

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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.