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Finding the Fourth Proportional to 705.52, 1,057.47 and 431.74

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Solution

The fourth proportional to 705.52, 1,057.47 and 431.74 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.52 : 1,057.47 = 431.74 : x
  2. Step 2: Convert to fraction form
    705.52/1,057.47 = 431.74/x
  3. Step 3: Cross multiply
    705.52x = 1,057.47 × 431.74
  4. Step 4: Simplify right side
    705.52x = 456,552.10
  5. Step 5: Solve for x
    x = 456,552.10/705.52
  6. Step 6: Final answer
    x = 647.11

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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.