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Finding the Fourth Proportional to 705.18, 1,057.23 and 431.13

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Solution

The fourth proportional to 705.18, 1,057.23 and 431.13 is: 646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.18 : 1,057.23 = 431.13 : x
  2. Step 2: Convert to fraction form
    705.18/1,057.23 = 431.13/x
  3. Step 3: Cross multiply
    705.18x = 1,057.23 × 431.13
  4. Step 4: Simplify right side
    705.18x = 455,803.57
  5. Step 5: Solve for x
    x = 455,803.57/705.18
  6. Step 6: Final answer
    x = 646.36

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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.