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Finding the Fourth Proportional to 705.35, 1,057.75 and 315.47

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Solution

The fourth proportional to 705.35, 1,057.75 and 315.47 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.35 : 1,057.75 = 315.47 : x
  2. Step 2: Convert to fraction form
    705.35/1,057.75 = 315.47/x
  3. Step 3: Cross multiply
    705.35x = 1,057.75 × 315.47
  4. Step 4: Simplify right side
    705.35x = 333,688.39
  5. Step 5: Solve for x
    x = 333,688.39/705.35
  6. Step 6: Final answer
    x = 473.08

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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.