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Finding the Fourth Proportional to 1,085.49, 1,628.48 and 355.07

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Solution

The fourth proportional to 1,085.49, 1,628.48 and 355.07 is: 532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.49 : 1,628.48 = 355.07 : x
  2. Step 2: Convert to fraction form
    1,085.49/1,628.48 = 355.07/x
  3. Step 3: Cross multiply
    1,085.49x = 1,628.48 × 355.07
  4. Step 4: Simplify right side
    1,085.49x = 578,229.35
  5. Step 5: Solve for x
    x = 578,229.35/1,085.49
  6. Step 6: Final answer
    x = 532.69

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Double scale
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1.5x scale

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.