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Finding the Fourth Proportional to 1,085.54, 1,628.32 and 355.18

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Solution

The fourth proportional to 1,085.54, 1,628.32 and 355.18 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.54 : 1,628.32 = 355.18 : x
  2. Step 2: Convert to fraction form
    1,085.54/1,628.32 = 355.18/x
  3. Step 3: Cross multiply
    1,085.54x = 1,628.32 × 355.18
  4. Step 4: Simplify right side
    1,085.54x = 578,341.74
  5. Step 5: Solve for x
    x = 578,341.74/1,085.54
  6. Step 6: Final answer
    x = 532.77

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Half scale
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Double scale
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Similar ratio
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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.