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Finding the Fourth Proportional to 705.04, 1,057 and 431.08

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Solution

The fourth proportional to 705.04, 1,057 and 431.08 is: 646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.04 : 1,057 = 431.08 : x
  2. Step 2: Convert to fraction form
    705.04/1,057 = 431.08/x
  3. Step 3: Cross multiply
    705.04x = 1,057 × 431.08
  4. Step 4: Simplify right side
    705.04x = 455,651.56
  5. Step 5: Solve for x
    x = 455,651.56/705.04
  6. Step 6: Final answer
    x = 646.28

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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.