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Finding the Fourth Proportional to 1,043.42, 1,564.86 and 427.01

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Solution

The fourth proportional to 1,043.42, 1,564.86 and 427.01 is: 640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.42 : 1,564.86 = 427.01 : x
  2. Step 2: Convert to fraction form
    1,043.42/1,564.86 = 427.01/x
  3. Step 3: Cross multiply
    1,043.42x = 1,564.86 × 427.01
  4. Step 4: Simplify right side
    1,043.42x = 668,210.87
  5. Step 5: Solve for x
    x = 668,210.87/1,043.42
  6. Step 6: Final answer
    x = 640.40

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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.