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Finding the Fourth Proportional to 1,043.16, 1,564.77 and 495.40

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Solution

The fourth proportional to 1,043.16, 1,564.77 and 495.40 is: 743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.16 : 1,564.77 = 495.40 : x
  2. Step 2: Convert to fraction form
    1,043.16/1,564.77 = 495.40/x
  3. Step 3: Cross multiply
    1,043.16x = 1,564.77 × 495.40
  4. Step 4: Simplify right side
    1,043.16x = 775,185.15
  5. Step 5: Solve for x
    x = 775,185.15/1,043.16
  6. Step 6: Final answer
    x = 743.11

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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.