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Finding the Fourth Proportional to 1,130.52, 1,694.64 and 437.02

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Solution

The fourth proportional to 1,130.52, 1,694.64 and 437.02 is: 655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.52 : 1,694.64 = 437.02 : x
  2. Step 2: Convert to fraction form
    1,130.52/1,694.64 = 437.02/x
  3. Step 3: Cross multiply
    1,130.52x = 1,694.64 × 437.02
  4. Step 4: Simplify right side
    1,130.52x = 740,591.57
  5. Step 5: Solve for x
    x = 740,591.57/1,130.52
  6. Step 6: Final answer
    x = 655.09

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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.