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Finding the Fourth Proportional to 1,130.42, 1,694.61 and 436.65

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Solution

The fourth proportional to 1,130.42, 1,694.61 and 436.65 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.42 : 1,694.61 = 436.65 : x
  2. Step 2: Convert to fraction form
    1,130.42/1,694.61 = 436.65/x
  3. Step 3: Cross multiply
    1,130.42x = 1,694.61 × 436.65
  4. Step 4: Simplify right side
    1,130.42x = 739,951.46
  5. Step 5: Solve for x
    x = 739,951.46/1,130.42
  6. Step 6: Final answer
    x = 654.58

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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.