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Finding the Fourth Proportional to 1,085.58, 1,628.47 and 355.16

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Solution

The fourth proportional to 1,085.58, 1,628.47 and 355.16 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.58 : 1,628.47 = 355.16 : x
  2. Step 2: Convert to fraction form
    1,085.58/1,628.47 = 355.16/x
  3. Step 3: Cross multiply
    1,085.58x = 1,628.47 × 355.16
  4. Step 4: Simplify right side
    1,085.58x = 578,367.41
  5. Step 5: Solve for x
    x = 578,367.41/1,085.58
  6. Step 6: Final answer
    x = 532.77

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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.