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Finding the Fourth Proportional to 705.30, 1,057.98 and 358.80

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Solution

The fourth proportional to 705.30, 1,057.98 and 358.80 is: 538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.30 : 1,057.98 = 358.80 : x
  2. Step 2: Convert to fraction form
    705.30/1,057.98 = 358.80/x
  3. Step 3: Cross multiply
    705.30x = 1,057.98 × 358.80
  4. Step 4: Simplify right side
    705.30x = 379,603.22
  5. Step 5: Solve for x
    x = 379,603.22/705.30
  6. Step 6: Final answer
    x = 538.22

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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.