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Finding the Fourth Proportional to 1,043, 1,563.96 and 457.64

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Solution

The fourth proportional to 1,043, 1,563.96 and 457.64 is: 686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043 : 1,563.96 = 457.64 : x
  2. Step 2: Convert to fraction form
    1,043/1,563.96 = 457.64/x
  3. Step 3: Cross multiply
    1,043x = 1,563.96 × 457.64
  4. Step 4: Simplify right side
    1,043x = 715,730.65
  5. Step 5: Solve for x
    x = 715,730.65/1,043
  6. Step 6: Final answer
    x = 686.22

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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.